Find the ratio between the time taken by a train 240 m long to cross a signal post and a bridge 80 m long.
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Answer:
3:4
Step-by-step explanation:
Given that a train is 240 m long; Cross a signal post and bridge of length 80 m. We need to find out the ratio between the time taken by a train to cross a signal post and a bridge.
Let's say that the train is moving with a speed of 'x'. And speed of the train is same in both cases.
Now,
Speed = Distance/Time
Speed of train = Length of train/time taken
(where the distance covered by train is 240 m in t1 time.
→ x = 240/t1
Similarly,
Speed of train while crossing the bridge = (Length of train + Length of bridge)/Time taken
→ x = (240 + 80)/t2
→ x = 320/t2
Therefore, the ratio between the time taken by a train to cross a signal post and a bridge:
→ 240/320 = t1/t2
→ 3/4 = t1/t2
Hence, ratio is 3:4.
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