Question

Mike's car broke down 5 miles from the auto shop. If he can push his car 1,056 feet per hour, how many hours will it take him to reach the auto shop?

Answer 1

It'll take 25 hours to get to the auto shop

Explanation:

Given

Distance = 5 miles

Speed =1056 feet per hour

Required

How long will it take to the auto shop

This can be solved using Speed's formula;

`Speed = (Distance)/(Time)`

Substitute values for Speed and Distance

`(1056 ft)/(hr) = (5 miles)/(Time)`

1 mile = 5280 feet;

So:

`(1056 ft)/(hr) = (5 * 5280 ft)/(Time)`

`(1056 ft)/(hr) = (26400ft)/(Time)`

Cross Multiply

`Time * 1056ft = 26400ft * hr`

Divide both sides by 1056ft

`Time * (1056ft)/(1056ft) = (26400ft * hr)/(1056ft)`

`Time = (26400ft * hr)/(1056ft)`

`Time = 25hr`

Hence, it'll take 25 hours to get to the auto shop