Question

Alejandro rose his bike to work at an average rate of 15mph. To go home, he put his bike on the front rack of the bus and took the bus home along the same route,traveling at a rate of 22.5 mph. If Alejanro’s bike ride to work took 45 minutes,how many hours did the bus ride home take

Answer 1

C.

Explanation:

Answer 2

Remember the dvt equation: v = d / t

For the bike: 15mph = d / 0.75h
For the bus: 22.5mph = d / t

For the bike ride and the bus ride, d is the same; it’s v and t that change. We can rearrange the two equations above to solve for d and set them equal to each other, leaving only t, which we can solve for:

15 x 0.75 = 22.5t
11.25 = 22.5t
t = 0.5

It took half an hour on the bus.