SOLUTION: the speed of train A is 12 mph slower than the speed of train B. Train A travles 220 miles in the same time it takes train B to travel 280 miles. Find the speed of each train.

Question 249530: the speed of train A is 12 mph slower than the speed of train B. Train A travles 220 miles in the same time it takes train B to travel 280 miles. Find the speed of each train.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the speed of train A is 12 mph slower than the speed of train B. Train A travles 220 miles in the same time it takes train B to travel 280 miles. Find the speed of each train.
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Train A DATA:
distance = 220 miles ; rate = x-12 mph ; time = d/r = 220/(x-12) hrs
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Train B DATA:
distance = 280 miles ; rate = x mph ; time d/r = 280/x hrs
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Equation:
time A = time B
220/x-12 = 280/x
220x = 280(x-12)
220x = 280x - 3360
-60x = -3360
x = 56 mph (train B rate)
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x-12 = 44 mph (train A rate)
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Cheers,
Stan H.
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