Question
500 metre long train ‘A’ is running with a speed of
97.2 km/hr. Train ‘B’ which is 656 metre long is running with a speed of 90 km/h in opposite direction of train ‘A’. For how much time, the smaller train is completely obscured by the larger train when they cross each other?Solution
Length of smaller train = 500 metre Speed of smaller train = 97.2 × (5/18) = 27 m/s Length of bigger train = 656 metres Speed of bigger train = 90 × (5/18) = 25 m/s Since, the smaller train is completely obscured by larger train, therefore, extra length of larger train = 656 – 500 = 156 metres Relative speed of trains ‘A’ and ‘B ‘= 27 + 25 = 52 m/s (Since, the trains are running in opposite direction) Required time = 156/52 = 3 second
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