Question

Car A travels 20 mph faster than Car B. In the same time that Car A travels 252 miles, Car B travels 196 miles. Find their speeds

Answer 1

A = 70

B = 90

Explanation:

We know that Car A travels 20 mph faster than Car B.

Assuming the speed of Car B to be x and the speed of Car A to be x+20, we can write:

`(196)/(x) =(252)/(x+20)`

Taking the reciprocal of both sides to make x the subject:

`196(x+20)=252x`

`196x+3920=252x`

`252x-196x=3920`

`56x=3920`

`x=70` ---> speed of Car A

Finding the speed of Car B:
`x+20 = 70+20=90`

Therefore, the speed of Car A = 70 and the speed of Car B = 90.