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A train moves with a speed of 126 km/hr. Convert it to m/sec.

a km/hr = (a x 1000)/3600 m/sec

126 km/hr = (126*1000)/3600 m/sec

So 126 km/hr = 35 m/sec

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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

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 toy train crosses 210 and 122 m long tunnels in 25 and 17 sec respectively. Find the train's length.

Let length of train = x metersSpeed = Distance/TimeFirst distance = 210 + xTime = 25 sec

2nd distance = 122 + xTime = 17 sec

Speed = (210 + x)/25 = (122 + x)/17x = 65 m