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A column of men, extending 250 metres in length takes one hour to march through a street at the rate of 50 paces a minute, each pace being 75 cm. Find the length of the street ?
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- 2 km
- 1 km
- 1.5 km
- 2.5 km
Correct Option: A
Speed of the column of men = (50 x 75) / (100 x 60) = 5/8 m/sec.
Let the length of the street be L metres
∵ (L + 250) = (60 x 60 x 5) / 8 = 2250 metres
⇒ L = (2250 - 250) m
∴ L = 2000 m = 2 km.