A person, sitting inside a train of length 80 m and travelling at speed of 54 kmph observes another train which is travelling at a speed of 90 kmph. Find the length of the other train, if the time duration to cross each other is 15 seconds. [ n.B. Both the trains are moving in the same direction]
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Explanation:
Speed of first train = 54 km/h = 54 x 5/18 = 15 m/s
Speed of 2nd train = 90 km/h = 90 x 5/18 = 25 m/s
Time duration = 15 sec.
Total length of the trains = Total distance = 80 + X ( X = length of the other train)
Distance = Speed x time
80 + X = Relative speed in same direction x time = (25 - 15) x 15
= 10 x 15 = 150
80 + X = 150
X = 150 - 80 = 70 m Ans.
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