Question

It takes engineer kweku 3 hours to drive to his brothers house at an average speed of 50 miles per hour. If he takes the same route home but his average speed is 60 miles per hour, what is the time in hours that it takes him to get home

Answer 1

Answer: 2.5 hours.

Explanation:

You need to remember this formula:

`V=(d)/(t)`

Where "V" is speed, "d" is distance and "t" is time.

If you need to find the distance, you can solve for "d":

`d=Vt`

If you need to find the time, solve for "t":

`t=(d)/(V)`

In this case, you know that:

- It takes him 3 hours to drive to his brothers house.

- His average speed when he drives to his brothers house is 50 miles per hour.

- He takes the same route to come back home, then the distance does not change.

With this information, you can find the distance. This is:

`d=(50(mi)/(h))(3\ h)\\\\d=150\ mi`

Knowing the distance and also knowing that his average speed when he drives to his home is 60 miles per hour, you can find the time that it takes him to get home as following:

`t=(150\ mi)/(60 (mi)/(h))\\\\t=2.5\ h`