SOLUTION: Suppose that during a test drive of two​ cars, one car travels 185 miles in the same time that the second car travels 150 miles. If the speed of one car is 14 miles per hour

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Question 1052334: Suppose that during a test drive of two​ cars, one car travels 185 miles in the same time that the second car travels 150 miles. If the speed of one car is 14 miles per hour faster than the speed of the second​ car, find the speed of both cars.
The speed of the first car is
nothing ​mph, and the speed of the second car is
nothing mph.

Found 2 solutions by jorel555, ewatrrr:
Answer by jorel555(1290)   (Show Source): You can put this solution on YOUR website!
Let r be the rate of the slower car. Given that the times are equal, we have:
150/r=185/r+14
150(r+14)=185r
35r=2100
r=60
The slower car travels 60 mph; the faster one goes 74 mph. ☺☺☺☺

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
D = rt
0r
t = D/r
Times the same for both

| Cross Multiplying to solve
185r = 150(r+14)
35r = 150*14
r =60mph
(r+14) = 74mph

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