Question

1. marcy wants to catch the bus at 3 : 45 from the east liberty bus stop to go to a store near the brackenridge bus stop. she plans to catch the bus back to the east liberty bus stop as close to an hour after she arrives at the brackenridge stop as possible. what time will she arrive back to the east liberty bus stop?

p10 allegheny valley flyer
monday through friday service
to downtown pittsburgh
bus stop names and corresponding times table (to downtown pittsburgh)
monday through friday service
to tarentum - natrona heights
bus stop names and corresponding times table (to tarentum - natrona heights)

Explanation:

Step1: Find arrival time at Brackenridge

Marcy takes the bus at 3:45 from East Liberty (to Downtown - first table? Wait, no, the second table is "To Tarentum - Natrona Heights" and East Liberty Station (Stop B) has 3:45 departure? Wait, no, the first table is "To Downtown Pittsburgh" with East Liberty at 6:15, 6:35, etc. Wait, the second table is "To Tarentum - Natrona Heights" (return direction). Wait, Marcy is going from East Liberty (departure 3:45? Wait, no, the problem says she wants to catch the bus at 3:45 from East Liberty to Brackenridge? Wait, looking at the second table (To Tarentum - Natrona Heights), the East Liberty Station (Stop B) has a departure time of 3:45? Wait, no, the second table's columns: East Liberty Station (Stop B) has times like 3:45, 4:10, 4:25, etc. Wait, Marcy is going from East Liberty (departure 3:45) to Brackenridge? Wait, the second table's "Brackenridge" column: let's find the row where East Liberty is 3:45. Looking at the second table, the row with East Liberty (Stop B) at 3:45: then moving to Brackenridge column, what's the time? Wait, the second table's columns: from Downtown Liberty Ave at Gateway #4, then Downtown Penn Station (Stop B), East Liberty Station (Stop B) at 3:45, then Larimer, then RIDC Park, then Harmar, then Cheswick, etc., then Brackenridge. Wait, the second table's "Brackenridge" column: let's list the times for East Liberty (Stop B) row (3:45): then the Brackenridge column (Ninth Ave past Penn St) – looking at the second table, the row with East Liberty (Stop B) at 3:45: the Brackenridge column (Ninth Ave past Penn St) has time 4:39? Wait, no, maybe I got the direction wrong. Wait, the first table is "To Downtown Pittsburgh" (going to Downtown), the second table is "To Tarentum - Natrona Heights" (returning from Downtown). Wait, Marcy is going from East Liberty (departure 3:45) to Brackenridge (to go to the store near Brackenridge bus stop). Wait, the second table is the return direction (from Downtown to Tarentum), so East Liberty is a stop on the way. Wait, no, the first table is "To Downtown Pittsburgh" (departing from Harrison, Tarentum, etc., going to Downtown), the second table is "To Tarentum - Natrona Heights" (departing from Downtown, going to Tarentum, Natrona Heights, Harrison). So Marcy is taking the bus from East Liberty (in the first table? No, first table's East Liberty is a stop with times 6:15, 6:35, etc. Wait, the problem says she wants to catch the bus at 3:45 from East Liberty to Brackenridge. Looking at the second table (To Tarentum - Natrona Heights), the East Liberty Station (Stop B) has a departure time of 3:45. Then, the Brackenridge (Ninth Ave past Penn St) column in the second table: let's find the row where East Liberty is 3:45. The second table's rows: first row (top) is 3:30 (Downtown Liberty Ave), 3:39 (Downtown Penn Station), 3:45 (East Liberty Station), 3:49 (Larimer), 4:02 (RIDC Park), 4:11 (Harmar), 4:17 (Cheswick), 4:20 (Springdale), 4:28 (Creighton), 4:34 (Tarentum), 4:39 (Brackenridge), 4:41 (Natrona Heights), 4:48 (Harrison), 4:50 (Harrison Bakersstown Rd). Wait, so Marcy departs East Liberty at 3:45, arrives at Brackenridge at 4:39? Wait, no, that can't be. Wait, maybe the first table is the outgoing (to Downtown), second is incoming (from Downtown). Wait, no, the first table's East Liberty is a stop with times like 6:15 (arrival at East Liberty when going to Downtown). Wait, the problem says: "catch the bus at 3:45 from the East Liberty bus stop to go to a store near the Brackenridge bus stop". So she is going from East Liberty (departure 3:45) to Brackenridge (arrival time). Looking at the second table (To Tarentum - Natrona Heights), which is the return direction (from Downtown to Tarentum), so East Liberty is a stop on the way. So the second table's East Liberty Station (Stop B) has 3:45 as a departure time (since it's going from Downtown to Tarentum, so East Liberty is a stop after Downtown). Then, the Brackenridge column (Ninth Ave past Penn St) in the second table: the row with East Liberty at 3:45: the Brackenridge time is 4:39? Wait, no, let's check the columns again. The second table's columns (left to right): Downtown Liberty Ave, Downtown Penn Station (Stop B), East Liberty Station (Stop B), Larimer, RIDC Park, Harmar, Cheswick, Springdale, Creighton, Tarentum, Brackenridge, Natrona Heights, Harrison, Harrison Bakersstown Rd. So the row with East Liberty at 3:45: then moving to Brackenridge (Ninth Ave past Penn St) column: the time is 4:39? Wait, the first row (top) of the second table: Downtown Liberty Ave 3:30, Downtown Penn Station 3:39, East Liberty 3:45, Larimer 3:49, RIDC Park 4:02, Harmar 4:11, Cheswick 4:17, Springdale 4:20, Creighton 4:28, Tarentum 4:34, Brackenridge 4:39, Natrona Heights 4:41, Harrison 4:48, Harrison Bakersstown Rd 4:50. So Marcy departs East Liberty at 3:45, arrives at Brackenridge at 4:39. Now, she wants to catch the bus back to East Liberty as close to an hour after arriving at Brackenridge (4:39) as possible. So an hour after 4:39 is 5:39. Now, we need to find the bus from Brackenridge (to East Liberty, which is in the first table? Wait, the first table is "To Downtown Pittsburgh" (so from Tarentum, Natrona Heights, Harrison, Brackenridge, etc., to Downtown). So the first table's Brackenridge column (Ninth Ave past Penn St) has times like 5:20, 5:40, 6:00, 6:15, 6:27, 6:42, 7:05, 7:17, 7:47. Wait, we need a bus from Brackenridge (departure) to East Liberty (arrival) as close to 5:39 (one hour after 4:39) as possible. Let's look at the first table (To Downtown Pittsburgh) – Brackenridge column (Ninth Ave past Penn St) has times: 5:20, 5:40, 6:00, 6:15, 6:27, 6:42, 7:05, 7:17, 7:47. Now, Marcy arrives at Brackenridge at 4:39 (from East Liberty at 3:45). She wants to catch a bus back to East Liberty (in the first table, East Liberty is a stop on the way to Downtown) as close to 5:39 (one hour later) as possible. So the first table's Brackenridge departure times: 5:20 (too early, 4:39 + 1h = 5:39, 5:20 is 19 mins early), 5:40 (1 min late), 6:00 (21 mins late). So 5:40 is the closest. Now, find the arrival time at East Liberty from the first table. The first table's East Liberty column (East Liberty Station Stop D) has times: 6:15, 6:35, 6:55, 7:10, 7:25, 7:40, 8:15, 8:41. Wait, let's match the row. The first table's rows: first row (top) is 5:08 (Harrison), 5:11 (Harrison), 5:18, 5:20 (Brackenridge), 5:28, 5:32, 5:42, 5:44, 5:50, 6:01, 6:12, 6:15 (East Liberty), 6:21, 6:28. Second row: 5:28, 5:31, 5:38, 5:40 (Brackenridge), 5:48, 5:52, 6:02, 6:04, 6:10, 6:21, 6:32, 6:35 (East Liberty), 6:41, 6:48. Ah, here we go: the row where Brackenridge is 5:40 (departure from Brackenridge at 5:40) – then East Liberty's arrival time in that row is 6:35? Wait, no, first table columns: Brackenridge (Ninth Ave past Penn St) is column 4 (after Natrona Heights, before Tarentum). East Liberty is column 13 (after Larimer, Washington Blvd). So let's list the rows:

Row 1 (top) of first table:
Brackenridge: 5:20
East Liberty: 6:15

Row 2:
Brackenridge: 5:40
East Liberty: 6:35

Row 3:
Brackenridge: 6:00
East Liberty: 6:55

Row 4:
Brackenridge: 6:15
East Liberty: 7:10

Row 5:
Brackenridge: 6:27
East Liberty: 7:25

Row 6:
Brackenridge: 6:42
East Liberty: 7:40

Row 7:
Brackenridge: 7:05
East Liberty: 8:15

Row 8:
Brackenridge: 7:17
East Liberty: 8:41

Now, Marcy arrives at Brackenridge at 4:39 (from East Liberty at 3:45). She wants to catch a bus back to East Liberty as close to 5:39 (1 hour later) as possible. The Brackenridge departure times in the first table are 5:20 (too early, 5:20 - 4:39 = 41 mins early), 5:40 (5:40 - 4:39 = 1 min late), 6:00 (21 mins late). So 5:40 is the closest departure from Brackenridge. Now, the arrival time at East Liberty for that row (where Brackenridge is 5:40) is 6:35? Wait, no, wait the first table's East Liberty column (East Liberty Station Stop D) in the row with Brackenridge 5:40: let's check the columns again. First table columns (left to right):

1. Harrison
2. Harrison
3. Natrona Heights
4. Brackenridge (Ninth Ave past Penn St)
5. Tarentum
6. Creighton
7. Springdale
8. Cheswick
9. Harmar
10. RIDC East
11. Larimer
12. Washington Blvd
13. East Liberty (East Liberty Station Stop D)

So the row with Brackenridge 5:40 (second row of first table):

Column 4 (Brackenridge): 5:40

Column 13 (East Liberty): 6:35? Wait, no, the first table's East Liberty column (column 13) in the second row (second set of times) is 6:35? Wait, the first table's times:

First row (top):
Harrison: 5:08, 5:28, 5:48, 6:03, 6:14, 6:29, 6:44, 7:04, 7:34

Wait, maybe I misread the rows. Let's look at the first table's East Liberty column (East Liberty Station Stop D) – the times are 6:15, 6:35, 6:55, 7:10, 7:25, 7:40, 8:15, 8:41. Now, the Brackenridge column (Ninth Ave past Penn St) times are 5:20, 5:40, 6:00, 6:15, 6:27, 6:42, 7:05, 7:17, 7:47. So each row corresponds:

Row 1: Brackenridge 5:20 → East Liberty 6:15

Row 2: Brackenridge 5:40 → East Liberty 6:35

Row 3: Brackenridge 6:00 → East Liberty 6:55

Yes, because 5:20 (Brackenridge) to 6:15 (East Liberty) is 55 mins, 5:40 to 6:35 is 55 mins, 6:00 to 6:55 is 55 mins. So the pattern is 55 minutes travel time. So if Marcy departs Brackenridge at 5:40 (closest to 5:39), she arrives at East Liberty at 6:35? Wait, no, wait the problem says she wants to catch the bus back to East Liberty as close to an hour after she arrives at Brackenridge. Wait, she arrives at Brackenridge at 4:39 (from East Liberty at 3:45). Then one hour later is 5:39. She needs to catch a bus from Brackenridge (departure) to East Liberty (arrival) as close to 5:39 as possible. Wait, maybe I got the direction wrong. Wait, the second table is "To Tarentum - Natrona Heights" (so from Downtown to Tarentum), and the first table is "To Downtown Pittsburgh" (from Tarentum to Downtown). So when Marcy is going from East Liberty to Brackenridge (to the store), she is taking the second table (To Tarentum) – East Liberty at 3:45, arrives at Brackenridge at 4:39 (second table, Brackenridge column, row with East Liberty 3:45: 4:39). Then, to go back to East Liberty, she needs a bus from Brackenridge to East Liberty, which is in the first table (To Downtown) – because the first table is from Tarentum, Brackenridge, etc., to Downtown, passing through East Liberty. So the first table's Brackenridge departure times: 5:20, 5:40, 6:00, etc. The time she wants to depart Brackenridge is as close to 5:39 (4:39 + 1h) as possible. 5:40 is 1 minute after 5:39, which is closer than 5:20 (41 minutes before) or 6:00 (21 minutes after). So she departs Brackenridge at 5:40 (first table, Brackenridge column, 5:40), and arrives at East Liberty at the time in the first table's East Liberty column for that row. Looking at the first table, the row with Brackenridge 5:40: East Liberty (East Liberty Station Stop D) has time 6:35? Wait, no, let's check the first table's East Liberty column (East Liberty Station Stop D) – the times are 6:15, 6:35, 6:55, 7:10, 7:25, 7:40, 8:15, 8:41. The row with Brackenridge 5:40 is the second row (since first row Brackenridge is 5:20, East Liberty 6:15; second row Brackenridge 5:40, East Liberty 6:35; third row Brackenridge 6:00, East Liberty 6:55). So yes, 5:40 departure from Brackenridge, arrival at East Liberty at 6:35. Wait, but let's confirm the travel time: 5:40 to 6:35 is 55 minutes, which matches the first row (5:20 to 6:15 is 55 minutes). So that's correct.

Wait, but maybe I made a mistake in the arrival time at Brackenridge. Let's re-examine the second table (To Tarentum - Natrona Heights). The East Liberty Station (Stop B) has a departure time of 3:45. Then, the Brackenridge column (

Answer:

Step1: Find arrival time at Brackenridge

Marcy takes the bus at 3:45 from East Liberty (to Downtown - first table? Wait, no, the second table is "To Tarentum - Natrona Heights" and East Liberty Station (Stop B) has 3:45 departure? Wait, no, the first table is "To Downtown Pittsburgh" with East Liberty at 6:15, 6:35, etc. Wait, the second table is "To Tarentum - Natrona Heights" (return direction). Wait, Marcy is going from East Liberty (departure 3:45? Wait, no, the problem says she wants to catch the bus at 3:45 from East Liberty to Brackenridge? Wait, looking at the second table (To Tarentum - Natrona Heights), the East Liberty Station (Stop B) has a departure time of 3:45? Wait, no, the second table's columns: East Liberty Station (Stop B) has times like 3:45, 4:10, 4:25, etc. Wait, Marcy is going from East Liberty (departure 3:45) to Brackenridge? Wait, the second table's "Brackenridge" column: let's find the row where East Liberty is 3:45. Looking at the second table, the row with East Liberty (Stop B) at 3:45: then moving to Brackenridge column, what's the time? Wait, the second table's columns: from Downtown Liberty Ave at Gateway #4, then Downtown Penn Station (Stop B), East Liberty Station (Stop B) at 3:45, then Larimer, then RIDC Park, then Harmar, then Cheswick, etc., then Brackenridge. Wait, the second table's "Brackenridge" column: let's list the times for East Liberty (Stop B) row (3:45): then the Brackenridge column (Ninth Ave past Penn St) – looking at the second table, the row with East Liberty (Stop B) at 3:45: the Brackenridge column (Ninth Ave past Penn St) has time 4:39? Wait, no, maybe I got the direction wrong. Wait, the first table is "To Downtown Pittsburgh" (going to Downtown), the second table is "To Tarentum - Natrona Heights" (returning from Downtown). Wait, Marcy is going from East Liberty (departure 3:45) to Brackenridge (to go to the store near Brackenridge bus stop). Wait, the second table is the return direction (from Downtown to Tarentum), so East Liberty is a stop on the way. Wait, no, the first table is "To Downtown Pittsburgh" (departing from Harrison, Tarentum, etc., going to Downtown), the second table is "To Tarentum - Natrona Heights" (departing from Downtown, going to Tarentum, Natrona Heights, Harrison). So Marcy is taking the bus from East Liberty (in the first table? No, first table's East Liberty is a stop with times 6:15, 6:35, etc. Wait, the problem says she wants to catch the bus at 3:45 from East Liberty to Brackenridge. Looking at the second table (To Tarentum - Natrona Heights), the East Liberty Station (Stop B) has a departure time of 3:45. Then, the Brackenridge (Ninth Ave past Penn St) column in the second table: let's find the row where East Liberty is 3:45. The second table's rows: first row (top) is 3:30 (Downtown Liberty Ave), 3:39 (Downtown Penn Station), 3:45 (East Liberty Station), 3:49 (Larimer), 4:02 (RIDC Park), 4:11 (Harmar), 4:17 (Cheswick), 4:20 (Springdale), 4:28 (Creighton), 4:34 (Tarentum), 4:39 (Brackenridge), 4:41 (Natrona Heights), 4:48 (Harrison), 4:50 (Harrison Bakersstown Rd). Wait, so Marcy departs East Liberty at 3:45, arrives at Brackenridge at 4:39? Wait, no, that can't be. Wait, maybe the first table is the outgoing (to Downtown), second is incoming (from Downtown). Wait, no, the first table's East Liberty is a stop with times like 6:15 (arrival at East Liberty when going to Downtown). Wait, the problem says: "catch the bus at 3:45 from the East Liberty bus stop to go to a store near the Brackenridge bus stop". So she is going from East Liberty (departure 3:45) to Brackenridge (arrival time). Looking at the second table (To Tarentum - Natrona Heights), which is the return direction (from Downtown to Tarentum), so East Liberty is a stop on the way. So the second table's East Liberty Station (Stop B) has 3:45 as a departure time (since it's going from Downtown to Tarentum, so East Liberty is a stop after Downtown). Then, the Brackenridge column (Ninth Ave past Penn St) in the second table: the row with East Liberty at 3:45: the Brackenridge time is 4:39? Wait, no, let's check the columns again. The second table's columns (left to right): Downtown Liberty Ave, Downtown Penn Station (Stop B), East Liberty Station (Stop B), Larimer, RIDC Park, Harmar, Cheswick, Springdale, Creighton, Tarentum, Brackenridge, Natrona Heights, Harrison, Harrison Bakersstown Rd. So the row with East Liberty at 3:45: then moving to Brackenridge (Ninth Ave past Penn St) column: the time is 4:39? Wait, the first row (top) of the second table: Downtown Liberty Ave 3:30, Downtown Penn Station 3:39, East Liberty 3:45, Larimer 3:49, RIDC Park 4:02, Harmar 4:11, Cheswick 4:17, Springdale 4:20, Creighton 4:28, Tarentum 4:34, Brackenridge 4:39, Natrona Heights 4:41, Harrison 4:48, Harrison Bakersstown Rd 4:50. So Marcy departs East Liberty at 3:45, arrives at Brackenridge at 4:39. Now, she wants to catch the bus back to East Liberty as close to an hour after arriving at Brackenridge (4:39) as possible. So an hour after 4:39 is 5:39. Now, we need to find the bus from Brackenridge (to East Liberty, which is in the first table? Wait, the first table is "To Downtown Pittsburgh" (so from Tarentum, Natrona Heights, Harrison, Brackenridge, etc., to Downtown). So the first table's Brackenridge column (Ninth Ave past Penn St) has times like 5:20, 5:40, 6:00, 6:15, 6:27, 6:42, 7:05, 7:17, 7:47. Wait, we need a bus from Brackenridge (departure) to East Liberty (arrival) as close to 5:39 (one hour after 4:39) as possible. Let's look at the first table (To Downtown Pittsburgh) – Brackenridge column (Ninth Ave past Penn St) has times: 5:20, 5:40, 6:00, 6:15, 6:27, 6:42, 7:05, 7:17, 7:47. Now, Marcy arrives at Brackenridge at 4:39 (from East Liberty at 3:45). She wants to catch a bus back to East Liberty (in the first table, East Liberty is a stop on the way to Downtown) as close to 5:39 (one hour later) as possible. So the first table's Brackenridge departure times: 5:20 (too early, 4:39 + 1h = 5:39, 5:20 is 19 mins early), 5:40 (1 min late), 6:00 (21 mins late). So 5:40 is the closest. Now, find the arrival time at East Liberty from the first table. The first table's East Liberty column (East Liberty Station Stop D) has times: 6:15, 6:35, 6:55, 7:10, 7:25, 7:40, 8:15, 8:41. Wait, let's match the row. The first table's rows: first row (top) is 5:08 (Harrison), 5:11 (Harrison), 5:18, 5:20 (Brackenridge), 5:28, 5:32, 5:42, 5:44, 5:50, 6:01, 6:12, 6:15 (East Liberty), 6:21, 6:28. Second row: 5:28, 5:31, 5:38, 5:40 (Brackenridge), 5:48, 5:52, 6:02, 6:04, 6:10, 6:21, 6:32, 6:35 (East Liberty), 6:41, 6:48. Ah, here we go: the row where Brackenridge is 5:40 (departure from Brackenridge at 5:40) – then East Liberty's arrival time in that row is 6:35? Wait, no, first table columns: Brackenridge (Ninth Ave past Penn St) is column 4 (after Natrona Heights, before Tarentum). East Liberty is column 13 (after Larimer, Washington Blvd). So let's list the rows:

Row 1 (top) of first table:
Brackenridge: 5:20
East Liberty: 6:15

Row 2:
Brackenridge: 5:40
East Liberty: 6:35

Row 3:
Brackenridge: 6:00
East Liberty: 6:55

Row 4:
Brackenridge: 6:15
East Liberty: 7:10

Row 5:
Brackenridge: 6:27
East Liberty: 7:25

Row 6:
Brackenridge: 6:42
East Liberty: 7:40

Row 7:
Brackenridge: 7:05
East Liberty: 8:15

Row 8:
Brackenridge: 7:17
East Liberty: 8:41

Now, Marcy arrives at Brackenridge at 4:39 (from East Liberty at 3:45). She wants to catch a bus back to East Liberty as close to 5:39 (1 hour later) as possible. The Brackenridge departure times in the first table are 5:20 (too early, 5:20 - 4:39 = 41 mins early), 5:40 (5:40 - 4:39 = 1 min late), 6:00 (21 mins late). So 5:40 is the closest departure from Brackenridge. Now, the arrival time at East Liberty for that row (where Brackenridge is 5:40) is 6:35? Wait, no, wait the first table's East Liberty column (East Liberty Station Stop D) in the row with Brackenridge 5:40: let's check the columns again. First table columns (left to right):

1. Harrison
2. Harrison
3. Natrona Heights
4. Brackenridge (Ninth Ave past Penn St)
5. Tarentum
6. Creighton
7. Springdale
8. Cheswick
9. Harmar
10. RIDC East
11. Larimer
12. Washington Blvd
13. East Liberty (East Liberty Station Stop D)

So the row with Brackenridge 5:40 (second row of first table):

Column 4 (Brackenridge): 5:40

Column 13 (East Liberty): 6:35? Wait, no, the first table's East Liberty column (column 13) in the second row (second set of times) is 6:35? Wait, the first table's times:

First row (top):
Harrison: 5:08, 5:28, 5:48, 6:03, 6:14, 6:29, 6:44, 7:04, 7:34

Wait, maybe I misread the rows. Let's look at the first table's East Liberty column (East Liberty Station Stop D) – the times are 6:15, 6:35, 6:55, 7:10, 7:25, 7:40, 8:15, 8:41. Now, the Brackenridge column (Ninth Ave past Penn St) times are 5:20, 5:40, 6:00, 6:15, 6:27, 6:42, 7:05, 7:17, 7:47. So each row corresponds:

Row 1: Brackenridge 5:20 → East Liberty 6:15

Row 2: Brackenridge 5:40 → East Liberty 6:35

Row 3: Brackenridge 6:00 → East Liberty 6:55

Yes, because 5:20 (Brackenridge) to 6:15 (East Liberty) is 55 mins, 5:40 to 6:35 is 55 mins, 6:00 to 6:55 is 55 mins. So the pattern is 55 minutes travel time. So if Marcy departs Brackenridge at 5:40 (closest to 5:39), she arrives at East Liberty at 6:35? Wait, no, wait the problem says she wants to catch the bus back to East Liberty as close to an hour after she arrives at Brackenridge. Wait, she arrives at Brackenridge at 4:39 (from East Liberty at 3:45). Then one hour later is 5:39. She needs to catch a bus from Brackenridge (departure) to East Liberty (arrival) as close to 5:39 as possible. Wait, maybe I got the direction wrong. Wait, the second table is "To Tarentum - Natrona Heights" (so from Downtown to Tarentum), and the first table is "To Downtown Pittsburgh" (from Tarentum to Downtown). So when Marcy is going from East Liberty to Brackenridge (to the store), she is taking the second table (To Tarentum) – East Liberty at 3:45, arrives at Brackenridge at 4:39 (second table, Brackenridge column, row with East Liberty 3:45: 4:39). Then, to go back to East Liberty, she needs a bus from Brackenridge to East Liberty, which is in the first table (To Downtown) – because the first table is from Tarentum, Brackenridge, etc., to Downtown, passing through East Liberty. So the first table's Brackenridge departure times: 5:20, 5:40, 6:00, etc. The time she wants to depart Brackenridge is as close to 5:39 (4:39 + 1h) as possible. 5:40 is 1 minute after 5:39, which is closer than 5:20 (41 minutes before) or 6:00 (21 minutes after). So she departs Brackenridge at 5:40 (first table, Brackenridge column, 5:40), and arrives at East Liberty at the time in the first table's East Liberty column for that row. Looking at the first table, the row with Brackenridge 5:40: East Liberty (East Liberty Station Stop D) has time 6:35? Wait, no, let's check the first table's East Liberty column (East Liberty Station Stop D) – the times are 6:15, 6:35, 6:55, 7:10, 7:25, 7:40, 8:15, 8:41. The row with Brackenridge 5:40 is the second row (since first row Brackenridge is 5:20, East Liberty 6:15; second row Brackenridge 5:40, East Liberty 6:35; third row Brackenridge 6:00, East Liberty 6:55). So yes, 5:40 departure from Brackenridge, arrival at East Liberty at 6:35. Wait, but let's confirm the travel time: 5:40 to 6:35 is 55 minutes, which matches the first row (5:20 to 6:15 is 55 minutes). So that's correct.

Wait, but maybe I made a mistake in the arrival time at Brackenridge. Let's re-examine the second table (To Tarentum - Natrona Heights). The East Liberty Station (Stop B) has a departure time of 3:45. Then, the Brackenridge column (