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One train leaves Los Angeles at 15mph heading for New York.
Another train leaves from New York at 20mph heading for Los
Angeles on the same track. If a bird, flying at 25mph,
leaves from Los Angeles at the same time as the train and
flies back and forth between the two trains until they
collide, how far will the bird have traveled?
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Answer Posted / brian kendig
The distance from Los Angeles to New York is roughly 2440
miles, as can be looked up online.
If the trains are moving towards each other at 15mph and
20mph, then they are closing at a rate of 35mph. The time
required to cover 2440 miles at 35mph is about 70 hours
(2440/35). (Incidentally, this means the train from LA has
traveled about 1050 miles, and the train from NY has
traveled about 1400 miles, when they collide.)
If a bird flies at 25mph for 70 hours, it will have traveled
1750 miles, which is the answer.
You don't have to worry about when it reaches either train
and turns around; all you have to know is that it flies for
70 hours.
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