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

Answer:

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

Step-by-step 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;

$Speed = \frac{Distance}{Time}$

Substitute values for Speed and Distance

$\frac{1056 ft}{hr} = \frac{5 miles}{Time}$

1 mile = 5280 feet;

So:

$\frac{1056 ft}{hr} = \frac{5 * 5280 ft}{Time}$

$\frac{1056 ft}{hr} = \frac{26400ft}{Time}$

Cross Multiply

$Time * 1056ft = 26400ft * hr$

Divide both sides by 1056ft

$Time * \frac{1056ft}{1056ft} = \frac{26400ft * hr}{1056ft}$

$Time = \frac{26400ft * hr}{1056ft}$

$Time = 25hr$

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