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A train passes by an observer in 6 seconds and over a bridge 350m long in 20 seconds. Find the speed and length of the train.

Mathematics 09/01/2020 12:59 AM answersmine

Answered @ 09/01/2020 12:59 AM By answersmine

If the speed of the train is s, and it passes by a observer (a single point) in 6 seconds, then the length of the train is 6s.
The time it takes to pass the bridge begins when the front of the train first gets on the bridge, to the moment when the back end of the train leaves the other end of the bridge (at which point the front is 6s meters past the end of the bridge). Therefore the total length travelled is (6s + 350) meters, which takes 20 seconds. This means the speed is (6s + 350) / 20 = 0.3s + 17.5, and this should be equivalent to our original expression for speed: s.
0.3s + 17.5 = s0.7s = 17.5s = 25 m/s
length of train = 6s = 150 m

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