SOLUTION: Manuel traveled 2 hours nonstop to Mexico, a total of 80 miles. He took a train part of the way, which averaged 50mph, and then took a bus the remaining distance, which averaged 30

Question 910897: Manuel traveled 2 hours nonstop to Mexico, a total of 80 miles. He took a train part of the way, which averaged 50mph, and then took a bus the remaining distance, which averaged 30mph. How long was Manuel on the train?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x+y=2,
50*x+30*y=80
x=2-y
50*(2-y)+30*y=80
100-50y+30*y=80
-20*y=-20
y=1
x=2-y
x=1 hour at 50 and y=1 hour at 30
check
1+1=2
50*x+30*y=80
50*1+30*1=80
50+30=80
80=80
ok

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