SOLUTION: Suppose that during a test drive of two cars, one car travels at 324 miles in the same time it takes a second car to travel 270 miles. if the speed of the one car is 12 miles per h

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Question 1020193: Suppose that during a test drive of two cars, one car travels at 324 miles in the same time it takes a second car to travel 270 miles. if the speed of the one car is 12 miles per hour faster than the speed of the send car, find the speed of the both cars.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
                   rate         time          distance
A car              r+12           t           324
Second car         r              t           270



Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Suppose that during a test drive of two cars, one car travels at 324 miles in the same time it takes a second car to travel 270 miles. if the speed of the one car is 12 miles per hour faster than the speed of the send car, find the speed of the both cars.
Let speed of faster car be S
Then speed of slower car = S - 12
The following time equation is formed:
324(S - 12) = 270S ------- Cross-multiplying
324S - 3,888 = 270S
324S - 270S = 3,888
54S = 3,888
S, or speed of faster car = , or
Speed of slower car: 72 - 12, or
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