Question

Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what speed does Aidan drive home?

17 mph
27 mph
32 mph
56 mph

Answer 1

B

Explanation:

did it on edg

Answer 2

The correct option is 2.

Explanation:

The formula form speed is

`speed=(distance)/(time)`

`time=(distance)/(speed)`

It is given that the school is 16 miles from his home. He averages 40 miles per hour on his way to school. Time taken by Aidan to reach school from the home is

`t_1=(16)/(40)`

Let speed at which Aidan drive home be s. Time taken by Aidan to reach home from the school is

`t_2=(16)/(s)`

It is given that his total trip takes 1 hour.

`(16)/(40)+(16)/(s)=1`

`(16s+640)/(40s)=1`

`16s+640=40s`

`640=40s-16s`

`640=14s`

Divide both sides by 14.

`(640)/(24)=s`

`s=26.666667`

`s\approx 27`

Aidan return with speed about 27 mph Therefore the correct option is 2.