One train leaves
at 15 MPH heading for
. Another train leaves from
at 20mph heading for
on the same track. If a bird, flying at 25mph, leaves from
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?
The distance traveled by the bird can be calculated as:
1. Let's say the distance
between LA and NY is d miles.
2. The time before which the
trains will collide: d / (15+20) hours.
3. The distance traveled by
the bird in that time: (d / 35) * 25 = 5*d/7 miles.
Assumptions made: The bird must follow the line of the track,
remain at the same altitude, and the speed must be relative to the
ground and not air speed.