SOLUTION: Two cars, which are 768 miles apart and whose speeds differ by 6 mph, are moving toward each other. If they meet in 8 hours, find the speed of each car.

Question 569518: Two cars, which are 768 miles apart and whose speeds differ by 6 mph, are moving toward each other. If they meet in 8 hours, find the speed of each car.
Answer by bluemockingjay7(41) (Show Source): You can put this solution on YOUR website!
rate of 1st car = x
rate of 2nd car = x + 6
time = 8 hours
distance = 768
rate of 1st car * time + rate of 2nd car * time = distance
x(8) + (x + 6)(8) = 768
8x + 8x + 48 = 768
16x + 48 = 768
16x = 720
16x/16 = 720/16
x = 45
rate of 1st car = 45 mph
rate of 2nd car = x + 6 = 45 + 6 = 51 mph
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