10) A train 150m long is running at 72km/hr. It crosses a bridge in 13 seconds. Find the length of the bridge.
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Answer:
110 metres.
Step-by-step explanation:
LET THE LENGTH OF BRIDGE BE x m.
Distance to be covered by train = ( length of train + length of bridge ) = (150+x) m.
Train's speed = 72 km/hr
Train's speed = (72 × 5/18) m/s = 20 m/s
now, total time taken = distance / speed = (150+x) / 20 seconds
but time is given as 13 seconds.
so, (150+x)/20 = 13
150+x = 13×20 [ Multiplication of 20 on both sides ]
150+x = 260
x = 260-150 [ Subtraction of 150 on both sides ]
x = 110 m.
Therefore , the length of bridge covered by the train = 110 metres.
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