QUESTION IMAGE
Question
- jeannine is planning dinner and a movie with her partner. the movie they will see starts at 7:30 p.m., and they need at least an hour and a half to eat dinner. what is the latest time that they should arrive at a restaurant to eat dinner?
5:45 p.m.
9:00 p.m.
6:30 p.m.
6:00 p.m.
Step1: Convert 1.5 hours to minutes
1 hour = 60 minutes, so 1.5 hours = 1 hour + 0.5 hour = 60 minutes + 30 minutes = 90 minutes.
Step2: Subtract 90 minutes from 7:30 p.m.
First, subtract 60 minutes (1 hour) from 7:30 p.m., we get 6:30 p.m.
Then, subtract another 30 minutes from 6:30 p.m., we get 6:00 p.m.? Wait, no, wait. Wait, the movie starts at 7:30 p.m., and they need at least 1.5 hours (90 minutes) to eat dinner. So we need to find the latest time they can arrive at the restaurant, so that when they spend 1.5 hours there, they can make it to the movie on time. So we need to subtract 1.5 hours from 7:30 p.m.
7:30 p.m. minus 1 hour is 6:30 p.m., minus another 30 minutes is 6:00 p.m.? Wait, but let's check the options. Wait, maybe I made a mistake. Wait, 7:30 p.m. minus 1.5 hours: 7:30 - 1:30 = 6:00 p.m.? Wait, no, 1.5 hours is 1 hour and 30 minutes. So 7:30 p.m. minus 1 hour is 6:30 p.m., minus 30 minutes is 6:00 p.m. But wait, the options include 6:00 p.m., 6:30 p.m., 5:45 p.m., 9:00 p.m. Wait, maybe I messed up. Wait, no, the latest time they can arrive is such that when they spend 1.5 hours eating, they finish by 7:30 p.m. So arrival time + 1.5 hours ≤ 7:30 p.m. So arrival time ≤ 7:30 p.m. - 1.5 hours. 7:30 p.m. - 1 hour 30 minutes = 6:00 p.m. Wait, but let's check the options. Wait, the options are 5:45 p.m., 9:00 p.m., 6:30 p.m., 6:00 p.m. Wait, 6:00 p.m. plus 1.5 hours is 7:30 p.m., which is the movie start time. So that's correct. But wait, maybe I made a mistake. Wait, let's check again. 7:30 p.m. minus 1 hour and 30 minutes: 7:30 - 1:30 = 6:00. So the latest time they should arrive is 6:00 p.m. But wait, the option 6:00 p.m. is there. Wait, but let's check the options again. Wait, the first option is 5:45 p.m., which is earlier, but we need the latest time. So the latest possible time is 6:00 p.m., because if they arrive at 6:00 p.m., they spend 1.5 hours, finish at 7:30 p.m., which is the movie start time. If they arrive later than 6:00 p.m., say 6:30 p.m., then 6:30 p.m. plus 1.5 hours is 8:00 p.m., which is after the movie starts. So the latest time is 6:00 p.m. Wait, but wait, the options include 6:00 p.m. as an option. So the answer should be 6:00 p.m.
Wait, but let's check the calculation again. 7:30 p.m. minus 1 hour and 30 minutes: 7:30 - 1:30 = 6:00. Yes. So the latest time they should arrive is 6:00 p.m.
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D. 6:00 p.m. (assuming the options are labeled A to D as A. 5:45 p.m., B. 9:00 p.m., C. 6:30 p.m., D. 6:00 p.m.)