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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

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A train is moving at a speed of 132km/hr. If length of train is 110 m, how long will it take to cross a platform 165 m long?

Speed = 132 km/hr = (132*1000)/3600 m/secSpeed = (110/3)m/secDistance covered = Length of Train + Platform LengthDistance covered = 110 + 165 = 275 mTime taken = Distance covered/SpeedTime taken = 275 / (110/3) = 7.5 sec

A 150 m long train crosses a bridge of length 250 m in 30 sec. Find the time the train takes to cross a platform 130 m long.

Distance = 150 + 250 = 400 mSpeed = 400/30 = (40/3) m/sec

Next distance = 150 + 130 = 280 mTime taken = 280/(40/3) = 21 sec

A train 100 m long, crosses a man standing nearby in 4 sec. Find its speed in km/hr.

Speed = distance / time

Speed = 100/4 = 25 m/sec

Answer options are given in km/hr. Convert m/sec into km/hr

25 m/sec = (25x3600)/1000 km/hr = 90 km/hr