SOLUTION: Karin can run 3 miles per hour faster than her sister Kim can walk. If Karin ran 12 miles in the same time it took Kim to walk 8 miles, what is the speed of each sister in this ca

Question 1137496: Karin can run 3 miles per hour faster than her sister Kim can walk. If Karin ran 12 miles in the same time it took Kim to walk 8 miles, what is the speed of each sister in this case?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website!
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Let x be the Kim's rate (the slower sister) in miles per hour. Then the faster sister's rate is (x+3) miles per hour. Karin spent hours running. Kim spent hours walking. The condition says = . It is your basic equation. It is called "time" equation, because its both sides represent time spent. To solve the equation, cross multiply. You will get 12x = 8((x+3) 12x = 8x + 24 12x - 8x = 24 4x = 24 x = 24/4 = 6. Answer. Kim's rate is 6 miles per hour; Karin's rate is 6+3 = 9 miles per hour.

Solved.

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From my solution learn how to use, how to write and how to solve a "time" equation.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Here is a way to set up the problem which is different from the solution from the other tutor.

Let Kim's speed be x; then Karin's speed is x+3.

Since the times are the same, the ratio of speeds is the same as the ratio of distances. So

Kim's speed is x = 6mph; Karin's speed is x+3 = 9mph
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