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

It would take 50 minutes

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=(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
`(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=(x)/(v)`

`t=(33.33)/(40)=0.8333\ hours = 0.83333*60= 50\ minutes`