SOLUTION: An express and local train leave Grays Lake 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 142994: An express and local train leave Grays Lake 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) (Show Source): You can put this solution on YOUR website!
An express and local train leave Grays Lake 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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Express DATA:
distance = 50 miles ; rate = 2x mph ; time = 50/2x = 25/x hrs
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Local DATA:
distance = 50 miles; rate = x mph ; time = 50/x hrs
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EQUATION:
local time - express time = 1 hr
50/x - 25/x = 1
50 - 25 = x
x = 25 mph ( speed of the local train)
2x = 50 mph ( speed of the express train)
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Cheers,
Stan H.
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