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?

ant101  May 26, 2018
edited by ant101  May 26, 2018

Let's say the x is the miles per hour for car A, and x+10 is the number of miles for car B(says in the problem/question)

Since Car A travels 120 miles when Car B travels 150 miles, we can do:\(\frac{120}{x}=\frac{150}{x+10}\).

Cross multiplying, we have 120(x+10)=150x- 120x+1200=150x

We get 30x=1200-x=40

Thus, Car A travels 40 mph, and Car B travels 50 mph.


tertre  May 26, 2018

Thanks so much, tertre!

ant101  May 26, 2018

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