Calculate the number of sleepers required for 1 km railway track, if sleeper density is (n + 4) for broad gauge and the length of one rail for a broad gauge is 13 m.

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SSC JE CE Previous Year Paper 18 (Held On: 25 JAN 18 Morning)
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  1. 437
  2. 678
  3. 1308
  4. 17000 

Answer (Detailed Solution Below)

Option 3 : 1308
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Detailed Solution

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Concept:

Sleeper density is denoted as n + x.

Here n + x denotes the number of sleepers to be used for one rail length.

n = length of one rail.

Calculation:

Given Data:

Sleeper density = n + 4

Length of one rail = 13 m ⇒ n + 4 = 17

⇒ 17 sleepers are required for 13 m

For 1 m, number of sleepers required \(= \frac{{17}}{{13}}\) = 1.308

For 1 km, the number of sleepers required \(= \frac{{17}}{{13}} \times 1000 = 1307.69\) ≈ 1308 Numbers.
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