SOLUTION: It takes a person the same time to walk 10 miles as it takes a car to travel 15 miles in heavy traffic. If the car is traveling 3 mph faster than the person walking. How fast is ea

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Question 1158432: It takes a person the same time to walk 10 miles as it takes a car to travel 15 miles in heavy traffic. If the car is traveling 3 mph faster than the person walking. How fast is each traveling?
This is the question from a homework problem I received. Can I get help figuring out the step-by-step process for how to work this problem? Any help is appreciated!
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the speed of the person, in miles per hour.

Then the speed of the car is (x+3) mph, according to the condition.


The time walking 10 miles is  10%2Fx  hours.

The time driving 15 miles is  15%2F%28x%2B3%29  hours.


Both times are the same --- so, you can write this equation


    10%2Fx = 15%2F%28x%2B3%29.


Cross multiply; then simplify


    10*(x+3) = 15x

    10x + 30 = 15x

    30       = 15x - 10x

    30       = 5x

     x       = 30/5 = 6.


ANSWER.  Walking speed is 6 miles per hour.  Driving speed is 6+3 = 9 miles per hour.

Solved and explained.

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