


8.
A train 100 metres long takes 6 seconds to cross a man walking at 5 kmph in a direction opposite to that of that train. Find the speed of the train.
9.
A train running at 54 kmph takes 20 seconds to pass a platform. Next it takes 12 seconds to pass a man walking at 6 kmph in the same direction in which the train is going. Find the length of the train and the length of the platform.
Answer & Solution
Answer: (B) 160 m , 140 m
Solution: Let the length of train be x metres and length of platform be y metres. Speed of the train relative to man = (54 – 6) kmph = 48 kmph = (48 * 5/18) m/sec = 40/3 m/sec In passing a man, the train covers its own length with relative speed. Therefore, Length of train = (Relative speed * Time) = (40/3 * 12) m = 160 m. Also, speed of the train = (54 * 5/18) m/sec = 15 m/sec. Therefore, (x+y) / 15 = 20 x+y = 300 y = (300 – 160) m y = 140 m 10.
A man sitting in a train which is travelling at 50 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods trainis 280 m long, find its speed.
11.
A train moves with a speed of 108 kmph. Its speed in metres per second is:
12.
A speed of 14 metres per second is the same as:
13.
In what time will a train 100 metres long cross an electric pole, if its speed be 144 km/hr? [S.S.C 2003]
14.
A train 280 m long, running with a speed of 63 km/hr will pass a tree in: [S.S.C. 2003]
