SOLUTION: 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

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?
My sister (8th grader) needs help with this problem and I (12th grader) can not seem to figure it out. The problem is not from a textbook. Thank you in advance for any help you provide.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
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