Question 797754: An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 8 miles per hour faster than the westbound train. After 1.5 hours, they are 168 miles apart. At what speeds are the two trains traveling?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 8 miles per hour faster than the westbound train. After 1.5 hours, they are 168 miles apart. At what speeds are the two trains traveling?
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Eastbound train DATA:
time = 1.5 hrs ; rate = x+8 mph ; distance = r*t = 1.5(x+8) = 1.5x + 12 miles
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Westbound train DATA:
time = 1.5 hrs ; rate = x mph ; distance= r*t = 1.5x miles
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Equation:
distance + distance = 168 miles
1.5x + 12 + 1.5x = 168
3x = 156
x = 52 mph (speed of the westbound train)
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x + 8 = 60 mph (speed of the eastbound train)
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Cheers,
Stan H.
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