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Bunuel
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A man is standing on a railway bridge which is 70 m long. He finds tha 29 Jan 2021, 09:45
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60% (02:53) correct 40% (02:45) wrong based on 149 sessions

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A man is standing on a railway bridge which is 70 m long. The man finds that a train crosses the bridge in \(5 \frac{1}{2}\) seconds but the man himself in 2 sec. What is the length of the train and its speed?

(A) 40 m, 72 km/hr.
(B) 50 m, 65 km/hr.
(C) 100 m, 50 km/hr.
(D) 110 m, 50 km/hr.
(E) 120 m, 50 km/hr.
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A man is standing on a railway bridge which is 70 m long. He finds tha 29 Jan 2021, 10:01
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Let the length of the train = x and its speed = y m/s

Time = Distance / Speed

When crossing the bridge, 5.5 = (70 + x) / y ... (1)

When crossing the man, 2 = x / y. Therefore x = 2y ... (2)

Putting (2) in (1), we get 5.5 = (70 + 2y) / y

5.5y = 70 + 2y

3.5 y = 70

y = 20 m/s = 20 * (18/5) = 72 km / hr

x = 2y = 2 * 20 = 40 m


Option A

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A man is standing on a railway bridge which is 70 m long. He finds tha 29 Jan 2021, 11:38
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An easy approach to solve this question in less than 30 sec.

Ans A
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A man is standing on a railway bridge which is 70 m long. He finds tha 30 Jan 2021, 07:38
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The train spends 3.5 sec (5.5 sec-2 sec) to travel 70 m. It's speed is 70m/3.5sec=20 m/sec= 72 km/h.

Option A.
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A man is standing on a railway bridge which is 70 m long. He finds tha 30 Apr 2023, 21:16
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I got this question wrong because of the phrasing. "...but the man himself..." made me believe that the man himself was able to cross the bridge (70m) in 2 seconds. Although i recognize this seems illogical due to the fact that the man is not faster than the train, it's unclear that the question was saying that the train then passed in the man in 2 seconds. It may help to adjust the phrasing to something like "...but passes the man in 2 seconds..."
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A man is standing on a railway bridge which is 70 m long. He finds tha 30 Apr 2023, 21:22
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elgunp I'm confused by the math. Why does the train take 3.5 seconds to travel the 70m bridge? Drawing it out it seems like it is this:

Start ------------Man (2 seconds, X m)------------------------------------------------------End(5.5seconds, 70m)


So it takes 5.5 seconds to cross 70m, but 2 seconds to cross x meters, yes? It takes 3.5 seconds to cross 70 - x meters?
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A man is standing on a railway bridge which is 70 m long. He finds tha 01 Nov 2024, 06:20
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