What is the number of sleepers required for constructing a railway track of 100 meters long for BG track using a sleeper density of M + 5?

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OSSC JE Civil Mains Official Paper: (Held On: 16th July 2023)
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  1. 144
  2. 158
  3. 162
  4. 120

Answer (Detailed Solution Below)

Option 1 : 144
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Detailed Solution

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Concept:

Number of sleeper = number of rails × number of sleepers per rail length

Calculation:

Given:

For BG track, length of rail = 12.8 m [General information]

∴ n = 13 [next positive integer of 12.8]

Number of sleepers per rail length = M + 5

So,

Number of sleepers per rail length = 13 + 5 = 18

Number of rails \(= \frac{{100}}{{12.8}} = 7.81\)~8

So number of sleepers needed = 18 × 8 = 144
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