SOLUTION: Two cars travel at the rate of 50 mph and 30 mph respectively. The faster travels 2 hours more than the other and goes 140 miles farther. Find the distance traveled by each.

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Question 1120697: Two cars travel at the rate of 50 mph and 30 mph respectively. The faster travels 2 hours more than the other and goes 140 miles farther. Find the distance traveled by each.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
                SPEED       TIME     DISTANCE

car1               50         x        y

car2               30       x-2       y-140

system%2850x=y%2C30%28x-2%29=y-140%29
-
system%2850x=y%2C30x-60=y-140%29
30x-60=50x-140
-60=20x-140
20x=80
x=4
-
y=50%2A4
highlight%28y=200%29----------miles, fast car
highlight%2860%29------------slow car, miles

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Two cars travel at the rate of 50 mph and 30 mph respectively. The faster travels 2 hours more than the other and goes 140 miles farther. Find the distance traveled by each.
Let distance traveled by slower vehicle be D

Then distance traveled by faster vehicle = D + 140

We then get the following TIME equation: 

Solve this for D, the distance traveled by the slower vehicle

Add 140 to D to get the distance traveled by the faster vehicle