Question

If a certain trip takes 40 minutes when you travel 50 miles per hour, how many minutes would it take if you travel 40 miles per hour?

Answer 1

Correct Answer:

50 Minutes

Answer 2

Answer:

It would take 50 minutes

Step-by-step explanation:

Distance, velocity and time

The speed is the rate at which the distance changes with respect to time. If x is the distance, t is the time, the speed v can be obtained by

$\displaystyle v=\frac{x}{t}$

We know the trip takes 40 minutes when traveling at 50 miles/hour. The distance can be determined by isolating x in the above equation

$x=vt$

The given time is expressed in minutes, we need to convert it to hours. 40 minutes is $\frac{40}{60}=0.6666...\ hours$. The distance is

$\displaystyle x=(50)(0.666..)=33.33\ miles$

If the speed was 40 miles/hour, the same distance would be covered in t hours, taken from the above equation as

$\displaystyle t=\frac{x}{v}$

$t=\frac{33.33}{40}=0.8333\ hours = 0.83333*60= 50\ minutes$