<PRE><B>Question 153325</B>
An express and local train leave Gray’s 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 it. Find the speed of each train. 

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Local train DATA:
rate = x mph ; distance = 50 miles ; time = 50/x hrs
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Express train DATA:
rate = 2x mph ; distance = 50 miles ; time = 50/2x hrs
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EQUATION:
local train time - express train time = 1 hr
50/x - 50/2x = 1
Multiply thru by 2x to get:
100 - 50 = 2x
2x = 50
x = 25 mph (local train speed)
2x = 50 mph (express train speed)
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Cheers,
Stan H.</PRE>