Question
Train A, at 90 km/h, crosses a pole in 8 seconds. Find
the time to cross a train which is 25% shorter than Train A, coming from the opposite direction at 36 km/h.Solution
Speed of Train A = 90 × 5/18 = 25 m/s
Length of Train A = 25 × 8 = 200 m
Length of Train B = 0.75 × 200 = 150 m
Speed of Train B = 36 × 5/18 = 10 m/s
Total length = 200 + 150 = 350 m
Relative speed = 25 + 10 = 35 m/s
Time = 350 / 35 = 10 seconds
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