SOLUTION: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains t

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Question 221282: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the mountains.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT OR T=D/R
400/R=160/(R-30)
160R=400(R-30)
160R=400R-12,000
160R-400R=-12,000
-240R=-12,000
R=-12,000/-240
R=50 MPH IS THE SPEED ON THE THE LEVEL TERRAIN.
pROOF:
400/50=160/(50-30)
8=160/20
8=8