SOLUTION: two high speed trains are 290 miles apart and traveling toward each other. They meet in 5 hours. If one train's speed is 10 miles faster per hour than the other, find the speed o

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Question 529921: two high speed trains are 290 miles apart and traveling toward each other. They meet in 5 hours. If one train's speed is 10 miles faster per hour than the other, find the speed of each train.
Answer by boilpoil(127) About Me  (Show Source):
You can put this solution on YOUR website!
We could solve this using algebra:
Let the speed of faster train be x
Then the speed of the slower train be x-10
5x%2B5%28x-10%29=290 ---5x represents the distance traveled by the faster train, then 5(x-10) represents the distance traveled by the slower train, so the two distance equals 290 because they were once 290 miles away from each other
5x%2B5x-50=290
10x=340
x=34%28mph%29 ---The mph here represents 'Miles per hour'
The speed of the slower train
=34-10
=24(mph)