Buses on your route run every 13 minutes from 7:00 a.m. to 11:00 a.m. You arrive at the bus stop at 8:46 a.m. How long will you wait for a bus?

(1 point)

2 minutes

6 minutes

7 minutes

11 minutes

To calculate the waiting time for a bus, we need to find the time difference between the time you arrive (8:46 a.m.) and the next available bus.

From 7:00 a.m. to 11:00 a.m. is a span of 4 hours. As the buses run every 13 minutes, we can find the number of buses within this time period by dividing 60 minutes (1 hour) by 13 minutes:

60 / 13 = 4.61 (approximately)

Therefore, there are 4 buses that run between 7:00 a.m. and 11:00 a.m.

The first bus arrives at 7:00 a.m. and the last bus at 10:59 a.m.

As you arrive at the bus stop at 8:46 a.m., you have missed the first bus. Therefore, you will wait for the next bus.

The next bus arrives at 8:53 a.m., which is 7 minutes from when you arrive.

Thus, you will wait for a bus for 7 minutes.

Therefore, the correct answer is 7 minutes.