Math Olympiad 5

Time Problems( Week 22 Evaluation)

1. If 5 days before yesterday was Friday, what day of the week will it be 10 days from today?

5. City A and City B are in different timezones. The time in City A is 4 hours ahead of the time in City B. A plane took off from City A at 4:00 A.M. local time and had a flight duration of 6 hours to arrive City B. What was the time in City B when the plane arrived?

6. A school tries to arrange once-a-week classes in a way that the next meeting for each class will be two weekdays after the day of the week of the previous week's schedule. For example, the next meeting for a class will be on Wednesday next week if it is scheduled on Monday this week; the next meeting will be on Monday next week if it is on Thursday this week, and on Tuesday next week if it is on Friday this week. Below is the schedule for Music class starting from the 1st week. What day of the week will the Music class meet in the 14th week?
Wednesday, Friday, Tuesday, Thursday, ...

7. A fast clock registers 3 more minutes per every normal hour. This fast clock shows the correct time at 01:00 PM. What is the correct time when the fast clock first registers 02:24 PM? Express you answer as HH:MM such as 02:09.

8. The distance between A and B is 12.5 miles. John jogs from B to A at 2 mph and Susan bikes from A to B at 8 mph. If they both leave at 10:00 AM, at what time will they meet on the road? Express time as format of "HH:MM AM" or "HH:MM PM".

9. Larry is supposed to be at a customer site at about noon. The customer site is 50 miles away from his home. He wants to be at the site no later than 11:55 AM, and he can drive at an average speed of 50 mph. When does Larry need to leave home? Express the answer as HH:MM such as 06:05.

10. Jessica rode her bike from home to school while Ben was trying to drive from school to Jessica's home to pick her up. Jessica rode her bike at 5 mph and Ben drove his car at 20 mph. They both left at 11:00 AM, and the distance between the school and Jessica's home is 30 miles. What time will they meet on the road? Express time in the format of "HH:MM AM" or "HH:MM PM".