SOLUTION: A train leaves New York for Boston, 200 miles away, at 3:00 P.M. and averages 45 mph. Another train leaves Boston for New York on an adjacent set of tracks at 4:00 P.M. and average
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Question 1070826: A train leaves New York for Boston, 200 miles away, at 3:00 P.M. and averages 45 mph. Another train leaves Boston for New York on an adjacent set of tracks at 4:00 P.M. and averages 60 mph. At what time will the trains meet? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! 3 PM to 4 PM is 1 hr
In 1 hr, the NY to BOS train travels
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After 1 hr, the trains are mi apart
Let = the distance the NY to BOS train
travels in hrs
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Equation for NY to BOS train:
(1)
Equation for BOS to NY train:
(2)
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By substitution:
(2)
(2)
(2)
(2)
The trains will meet in 1 hr and 29 min
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check:
(1)
(1)
(1)
and
(2)
(2)
(2)
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OK
