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A moving train crosses a man standing on a platform and a bridge of 240 m in 5 s and 13 s respectively. What will be the time taken by the train to cross a platform 30 m long?
  • a)
  • b)
    8 s
  • c)
    6 s
  • d)
    12 s
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A moving train crosses a man standing on a platform and a bridge of 24...
Let the length of the train be x m.
A moving train crosses a man standing on a platform and a bridge 240 m in 5 s and 13 s respectively.
So, we can write now,
(x/5) = (x + 240)/13
⇒ 13x = 5x + 1200
⇒ 8x = 1200
⇒ x = 150
So, the speed of the train = 150/5 m/s = 30 m/s.
To cross a 30 m long platform, the train have to cover distance = 30 + 150 = 180 m.
∴ The time taken by the train to cross a platform 30 m long = (180/30) m/s = 6 s.
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A moving train crosses a man standing on a platform and a bridge of 240 m in 5 s and 13 s respectively. What will be the time taken by the train to cross a platform 30 m long?a)b)8 sc)6 sd)12 sCorrect answer is option 'C'. Can you explain this answer?
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