SOLUTION: Freight train A goes from point A to point B at 40 miles per hour. Freight train B takes 2 hours longer to go from point A to point B because it only goes 30 miles an hour. What

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Question 316664: Freight train A goes from point A to point B at 40 miles per hour. Freight train B takes 2 hours longer to go from point A to point B because it only goes 30 miles an hour. What is the distance from point A to point B?
Answer by stanbon(57239) About Me  (Show Source):
You can put this solution on YOUR website!
Freight train A goes from point A to point B at 40 miles per hour.
distance = x miles ; rate = 40 mph ; time = x/40 hrs.
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Freight train B takes 2 hours longer to go from point A to point B because it only goes 30 miles an hour.
distance = x miles ; rate = 30 mph ; time = x/30 hrs
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What is the distance from point A to point B?
Equation:
slower train - faster train = 2 hrs
x/30 - x/40 = 2 hrs
40x - 30x = 2*40*30
10x = 2*40*30
x = 240 miles
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Cheers,
Stan H.
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