SOLUTION: An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find

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Question 439527: An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.
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Local Train DATA:
distance = 50 miles ; rate = r mph ; time = d/r = 50/r hrs.
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Express Train DATA:
distance = 50 miles ; rate = 2r mph ; time = d/r = 25/r hrs
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Equation:
time - time = 1 hr
50/r - 25/r = 1
Multiply thru by r to get:
25 = r
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Rate of the local train = 25 mph
Rate of the express train = 50 mph
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Cheers,
Stan H.
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