SOLUTION: - Two trains leave Chicago and New York at the same time. The move towards each other at constant speeds. The train from Chicago is moving at 40 miles per hours and the train from

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Question 206168: - Two trains leave Chicago and New York at the same time. The move towards each other at constant speeds. The train from Chicago is moving at 40 miles per hours and the train from New York is moving at 60 miles per hour. The distance from Chicago to New York is 1000 miles. How long after they depart will they meet?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two trains leave Chicago and New York at the same time. The move towards each other at constant speeds. The train from Chicago is moving at 40 miles per hours and the train from New York is moving at 60 miles per hour. The distance from Chicago to New York is 1000 miles. How long after they depart will they meet?
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Train A DATA:
distance: x miles ; rate = 40 mph ; time = x/40 hrs
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Train B DATA:
distance = 1000-x miles ; rate = 60 mph ; time = (1000-x)/60 hrs
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Equation:
time = time
x/40 = (1000-x)/60
60x = 40000-40x
100x = 40000
x = 400 miles (distance for the 40 mph train)
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time = d/r = 400/40 = 10 hrs
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Cheers,
Stan H.