Question
Train ‘A’ running with a speed of 45 km/h crosses a
pole in 7.5 seconds. If the time taken by train ‘A’ to cross train ‘B’ running with a speed of 54 km/h and coming from the opposite direction is 9 seconds, then find the length of train B.Solution
Speed of train A = 45 × 5/18 = 12.5 m/s Length of train A = 12.5 × 7.5 = 93.75 metres Let length of train B = ‘l’ metres Speed of train B = 54 × 5/18 = 15 m/s Relative speed if train A with respect to train B = 15 + 12.5 = 27.5 m/s So, I + 93.75 = 27.5 × 9 = 247.5 So, l = 153.75 metres
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