Question

A motorcycle travels 3 and 1/8 miles in 2.5 minutes. Which of the following represents the rate, to the nearest mile, at which the motorcycle travels in 1 hour

Answer 1

The rate would be 75 miles in 1 hour.

Set up a proportion to solve this:
3 1/8 miles in 2.5 minutes gives us the ratio 3.125/2.5.
The second ratio would be x miles in 60 minutes, or x/60.

3.125/2.5 = x/60

Cross multiply:
187.5 = 2.5x

Divide both sides by 2.5:
187.5/2.5 = 2.5x/2.5
75=x