A's efficiency is twice that of B's. A can work only for 8 hours a day while B can work for 12 hours a day. If A can finish a work in 12 days, in how many days can B finish the same work?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 3)
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  1. 8
  2. 10
  3. 16
  4. 12

Answer (Detailed Solution Below)

Option 3 : 16
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Detailed Solution

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Given:

A is twice efficient than B.

A can work only for 8 hours a day while B can work for 12 hours a day

Formula used:

Men × Day = Total work

Calculation:

Let the time taken by B to complete work be b.

⇒ 2 × 8 × 12 = 1 × b × 12 

⇒ b = 192/12 

⇒ b = 16

∴ In 16 days, B alone can complete the work.

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