SOLUTION: A passenger train can travel 240 miles in the same about of time it takes a freight train to travel 160 miles. If the rate of the freight rain is 20 miles per hour slower that the

Question 818941: A passenger train can travel 240 miles in the same about of time it takes a freight train to travel 160 miles. If the rate of the freight rain is 20 miles per hour slower that the rate of the passenger train, find the average rate of each.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s = d / t
t = d / s
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speeds:
s = speed of passenger train
speed of freight train = (s - 20)
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times:
T = 240 / s
T = 160 / (s - 20)
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240/s = 160/(s - 20)
240(s - 20)/s(s - 20) = 160s/s(s - 20)
240(s - 20)/s(s - 20) - 160s/s(s - 20) = 0
240(s - 20) - 160s = 0s(s - 20)
240s - 4800 - 160s = 0
80s - 4800 = 0
80s = 4800
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s = 60
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answer:
speed of passenger train = 60 mph
speed of freight train = 40 mph
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