Question

problems involving time
find the answer to this problem.
a train leaves the station at 7:30 a.m.
and arrives at the end of the line at
10:45 a.m. how long did
the journey take?
$7:30 \to 10:30 = 3$ h
$10:30 \to 10:45 = 15$ min
total = 3 h 15 min
3 hours 15 minutes
find the answer to each problem.
a film starts at 7:00 p.m. and finishes at
8:45 p.m. how long is the film?
a cake takes 2 hours 25 minutes to bake.
if it begins baking at 1:35 p.m., at what
time will the cake be done?
jay needs to clean his bedroom
and wash the car. it takes him 1 hour
10 minutes to clean his room and
45 minutes to clean the car. if he
starts at 10:00 a.m., at what time will
he finish?
a car is taken in for repair at 7:00 a.m.
it is finished at 1:50 p.m. how long did the
repairs take?
claire has to be at school by 8:50 a.m.
if she takes 1 hour 30 minutes to get ready,
and the trip takes 35 minutes, at what time
does she need to get up?
a bus leaves the bus station at 8:45 a.m.
and arrives back at 10:15 a.m. how long
was its trip taken?

Explanation:

Step1: Calculate film duration

Subtract start time from end time: $8:45 - 7:00 = 1\ \text{h}\ 45\ \text{min}$

Step2: Calculate cake finish time

Add bake time to start time: $1:35 + 2:25 = 4:00\ \text{P.M.}$

Step3: Calculate total chore time first

Sum task durations: $1:10 + 0:45 = 1:55$; add to start time: $10:00 + 1:55 = 11:55\ \text{A.M.}$

Step4: Calculate repair duration

Convert to 24h time: $1:50\ \text{P.M.}=13:50$; subtract start time: $13:50 - 7:00 = 6\ \text{h}\ 50\ \text{min}$

Step5: Calculate total prep/trip time

Sum times: $1:30 + 0:35 = 2:05$; subtract from deadline: $8:50 - 2:05 = 6:45\ \text{A.M.}$

Step6: Calculate bus trip duration

Subtract start time from end time: $10:15 - 8:45 = 1\ \text{h}\ 30\ \text{min}$

Answer:

1. 1 hour 45 minutes
2. 4:00 P.M.
3. 11:55 A.M.
4. 6 hours 50 minutes
5. 6:45 A.M.
6. 1 hour 30 minutes