Question 165661
A high speed train travels 80 miles per hour between Paris and St. Cloud. A commuter train, traveling at 64 miles per hour, takes two hours longer for the same trip. How far apart are Paris and St. Cloud? 
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Draw the picture of the trains going in the same direction from P to SC.
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Fast train DATA:
rate = 80 mph ; time = x hrs. ; distance = rt = 80x miles
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Commuteer train DATA:
rate = 64 mph ; time = x+2 hrs ; distance = rt = 64(x+2)
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EQUATION:
distance = distance
80x = 64(x+2)
80x = 64x + 128
16x = 128
x = 8 hrs
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Distance from P to SC = 80x = 80*8 = 640 miles
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Cheers,
Stan H.