SOLUTION: An express bus travels 310 miles in the same amount of time that a car travels 275 miles. The rate of the car is 7 miles per hour slower than the rate of the bus. Find the rate of

Question 929177: An express bus travels 310 miles in the same amount of time that a car travels 275 miles. The rate of the car is 7 miles per hour slower than the rate of the bus. Find the rate of the car.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of car = y - 7
y = speed of bus
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s = d/t
t = d/s
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time:
310/y = 275/x
310/y = 275/(y - 7)
310(y - 7) = 275y
310y - 2170 = 275y
310y - 275y = 2170
35y = 2170
y = 2170/35
y = 62
x = y - 7
x = 62 - 7
x = 55
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answer:
x = speed of car = 55 mph
y = speed of bus = 62 mph
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