Question

Please help!

Car A travels 120 miles in the same time that car B travels 150 miles. If car B averages 10 mph faster than car A, what is the speed of each car?

Answer 1

Car A: 40 mph

Car B: 50 mph

Explanation:

For the same travel time, the ratio of speeds is the same as the ratio of distances:

(speed B)/(speed A) = 150/120 = 5/4

The difference in the (reduced) ratio units is 1, so 1 ratio unit corresponds to 10 mph. Multiplying the reduced ratio by 10 mph, we get ...

Speed B is 50 mph; speed A is 40 mph.