SOLUTION: A train travels through the mountains at an average speed of 35 miles per hour. It then continues on flat land at an average speed of 85 miles per hour. If the entire trip covers 1

Question 314775: A train travels through the mountains at an average speed of 35 miles per hour. It then continues on flat land at an average speed of 85 miles per hour. If the entire trip covers 1200 miles and each leg of the trip takes the same number of hours, how many miles is each leg?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
mountains - speed = 35 mph.
let distance in mountains be x
time traveled in mountains = x/35
..
speed on flat land = 85 mph
distance travele = 1200-x miles
time taken on flat land = 1200-x /85
..
Both these times are equal.
x/35 = 1200-x / 85
85x=35(1200-x)
85x =42000 -35x
120x=42000
x= 350 miles distance in the mountains.
On flat land it will travel 1200-350
=850 miles
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