SOLUTION: Two high speed trains are 380 miles apart and traveling toward each other. They meet in 4 hours. If one train is 15 mph faster than the other, find the speed of each train.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two high speed trains are 380 miles apart and traveling toward each other. They meet in 4 hours. If one train is 15 mph faster than the other, find the speed of each train.      Log On


   

Question 563101: Two high speed trains are 380 miles apart and traveling toward each other. They meet in 4 hours. If one train is 15 mph faster than the other, find the speed of each train.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two high speed trains are 380 miles apart and traveling toward each other. They meet in 4 hours. If one train is 15 mph faster than the other, find the speed of each train.
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Slower train DATA:
time = 4 hrs ; rate = x mph ; distance = 4x miles
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Faster train DATA:
time = 4 hrs ; rate = x+15 mph ; distance = 4(x+15) miles
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Equation:
4x + 4(x+15) = 380
4x + 4x + 60 = 380
8x = 320
x = 40 mph (slower train rate)
x+15 = 55 mph (faster train rate)
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Stan H.
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