A can complete a piece of work in 14 days, while A and B together can complete it in 3\( 1\over2\) days. How long will B alone take to complete it?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 3)
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  1. 4 days
  2. 5 days
  3. \(\frac{3}{14}\) days
  4. \(\frac{14}{3}\) days

Answer (Detailed Solution Below)

Option 4 : \(\frac{14}{3}\) days
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Detailed Solution

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Given:

A can complete the work = 14 days

(A + B) can complete the work = 7/2 days

Formula used:

Total work = efficiency × time

Calculation:

Efficiency Person Time Total work
1 A 14 14
4 (A +B) (7/2)

Now,

Efficiency of B = (4 - 1) = 3 units/day

Time taken to complete the work alone = 14/3 days.

∴ The correct answer is 14/3 days. 

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