SOLUTION: Two train leave the same station at the same time and head in opposite direction. One train is traveling 20 mi/h faster than the other. In 5 hours, they were 800 miles apart, fin

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Question 703170:
Two train leave the same station at the same time and head in opposite direction. One train is traveling 20 mi/h faster than the other. In 5 hours, they were 800 miles apart, find the rate of each rate?

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
LET X & (X+20) BE THE SPEEDS.
800=(X+X+20)*5
800=(2X+20)*5
800=10X+100
10X=800-100
10X=700
X=700/100
X=70 MPH. FOR THE SLOWER TRAIN.
70+20=90 MPH. FOR THE FASTER TRAIN.
PROOF:
800=(70+90)5
800=160*5
800=800