SOLUTION: 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

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.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
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.
.
Let x = rate/speed of one car
x-10 = rate/speed of the other car
.
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)
.
x-10 = 40-10 = 30 mph (speed of other car)
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