UP TGT Mathematics Commercial Mathematics Test Series - Part 4
A train travelling at 72 km/h crosses a platform 160 m long in 18 seconds. How long will it take to cross a man walking...
Type: MCQ • Marks: 1
A train travelling at 72 km/h crosses a platform 160 m long in 18 seconds. How long will it take to cross a man walking at 6 km/h in the same direction as the train?
Options
A. 1) 9 seconds
B. 2) 10.9 seconds
C. 3) 12 seconds
D. 4) 14 seconds
Explanation
Speed of train = 72 * (5/18) = 20 m/s. Distance = 20 * 18 = 360 m. Length of train = 360 - 160 = 200 m. Relative speed with man = 72 - 6 = 66 km/h = 66 * (5/18) = 55/3 m/s. Time to cross man = 200 / (55/3) = 600 / 55 = 10.91 seconds.
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