Question 153373
Two cars travel in opposite directions from the same point. The rate of one car is 10mph less than the rate of the other car. After 8 hours, the cars are 560 miles apart. Find the rate of each car.
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Let x = rate/speed of one car
x-10 = rate/speed of the other car
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8x + 8(x-10) = 560
Now, we solve for x:
8x + 8x - 80 = 560
16x - 80 = 560
16x = 640
x = 640/16
x = 40 mph (speed of one car)
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x-10 = 40-10 = 30 mph (speed of other car)