SOLUTION: Valentina travels 70 miles to Rome by train, and then takes a bus 30 miles to the Coliseum. The bus travels 24 miles per hour slower than the train. If the total time traveling o

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Question 541010: Valentina travels 70 miles to Rome by train, and then takes a bus 30 miles to the Coliseum. The bus travels 24 miles per hour slower than the train. If the total time traveling on the bus and train is 2 hours, find the average speed of the train and the average speed of the bus.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
n=train
b= bus
r=speed
t=time
n+b=2 hours
r*n=70
s*b=30
s=r-24
bus time = 5/6 hour , train time= 7/6
train speed = 60, bus speed = 36
check
60*7/6=70
70=70
check
5/6*36=30
30=30