Question
Train P takes 27 seconds to cross
a tree, and Train Q overtakes Train P, both traveling in the same direction, in 3 minutes. The speeds of Train P and Train Q are 60 km/h and 48 km/h, respectively. What is the time taken by Train Q to overtake a bike moving in the same direction at a speed of 18 km/h?Solution
ATQ, Length of train P = 60 × (5/18) × 27 = 450 m 450 + Length of train Q = (60 - 48) × (5/18) × 180 Length of train Q = 600 - 450 = 150 m Required time = 150/((48 – 18) × 5/18) = 18 seconds
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