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.

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) (Show Source): You can put this solution on YOUR website!

SPEED TIME DISTANCE car1 50 x y car2 30 x-2 y-140

-

-

----------miles, fast car
------------slow car, miles
Answer by MathTherapy(10556) (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
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