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A train 150 m long, running at a speed of 120 km/hr, will cross a pole on the way in how many seconds?

Time = Distance / SpeedSpeed = 120 km/hr = (120*1000)/3600 m/s Speed = (100/3) m/s

Time = 150/(100/3) = 4.5 sec

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2 trains, 100 m and 120 m long are running in the same direction with speeds of 72 km/hr and 54 km/hr. In how much time will the first train cross the second?

Relative speed of trains = 72 - 54 = 18km/hr18km/hr = 5 m/sec

Distance = 100 + 120 = 220 mTime taken = Distance / SpeedTime taken = 220/5 = 44 sec

A train running at a speed of 90 km/hr crosses a tree in 6 sec. What is its length?

Distance = speed x time Speed = 90 km/hr = (90x1000)/3600 m/sSpeed = 25 m/sLength = Distance covered = 25 * 6 = 150 m

So Length of the train = 150 m

A man sitting in a train which is travelling at 50 km/hr observes that a goods train, travelling in the opposite direction, takes 9 sec to pass him. If the goods train is 280 m long, find its speed.

Relative speed = Distance/TimeRelative speed = (280/9) m/sec = 112 km/hrSpeed of goods train = 112 - 50 = 62 km/hr