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?

Respuesta :

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;

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values for Speed and Distance

[tex]\frac{1056 ft}{hr} = \frac{5 miles}{Time}[/tex]

1 mile = 5280 feet;

So:

[tex]\frac{1056 ft}{hr} = \frac{5 * 5280 ft}{Time}[/tex]

[tex]\frac{1056 ft}{hr} = \frac{26400ft}{Time}[/tex]

Cross Multiply

[tex]Time * 1056ft = 26400ft * hr[/tex]

Divide both sides by 1056ft

[tex]Time * \frac{1056ft}{1056ft} = \frac{26400ft * hr}{1056ft}[/tex]

[tex]Time = \frac{26400ft * hr}{1056ft}[/tex]

[tex]Time = 25hr[/tex]

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