SOLUTION: two trains started from the same place at the same time and traveled in opposite directions. after traveling 10 hours, they were 850 miles apart. the rate of the fast train exceede

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Question 165945: two trains started from the same place at the same time and traveled in opposite directions. after traveling 10 hours, they were 850 miles apart. the rate of the fast train exceeded the rate of the slow train by 5 mph. find the rate of each train.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
10X+10(X+5)=850
10X+10X+50=850
20X=850-50
20X=800
X=800/20
X=40 MPH FOR THE SLOWER TRAIN.
40+5=45 MPH FOR THE FASTER TRAIN.
PROOF:
10*40+10*45=850
400+450=850
850=850