SOLUTION: A motorcycle travels 196 miles in the same amount of time that a car travels 161. The rate of the motorcycle is 10 miles per hour faster than the rate of the car. Find the rate of
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Question 1149262: A motorcycle travels 196 miles in the same amount of time that a car travels 161. The rate of the motorcycle is 10 miles per hour faster than the rate of the car. Find the rate of the car
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
r, car's speed
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Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Here is a very different method for solving the problem....
The ratio of the distances is 196/161 = 28/23.
Since the times are the same, the ratio of the speeds is also 28/23.
You want two speeds that are in that same ratio and differ by 10.
So look for a fraction equivalent to 28/23 in which the numerator is 10 more than the denominator.
In 28/23, the numerator is 5 more than the denominator.
So multiply numerator and denominator by 2 to find the rates of the two vehicles.
28/23 = 56/46
The rate of the car is 46mph; the rate of the motorcycle is 56mph.
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