Question

Jake ran 5 miles in 45 minutes during his training for the Indianapolis mini-marathon. If he wants to increase the distance to 7 miles while maintaining the same rate, how long would Jake expect this 7-mile run to take?

a) 63 minutes
b) 60 minutes
c) 52.5 minutes
d) 70 minutes

Answer 1

Jake ran 5 miles in 45 minutes, so his speed was 1 mile every 9 minutes. To run 7 miles at this same pace, he would take 7 times 9 minutes, which is 63 minutes.

Step-by-step explanation:

To solve the problem of how long it will take Jake to run 7 miles at the same rate he ran 5 miles in 45 minutes, we need to use the concept of rate or speed, which is distance divided by time. First, we find Jake's running speed during his 5-mile run.

Speed = Distance / Time = 5 miles / 45 minutes = 1 mile / 9 minutes

Now, we keep the same rate to find out how long it will take him to run 7 miles:

Time = Distance / Speed = 7 miles / (1 mile / 9 minutes) = 7 miles * 9 minutes/mile = 63 minutes

Therefore, the time Jake would expect to run 7 miles maintaining the same rate is 63 minutes.