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P and Q together complete a job in  days. R and S complete the same job in  days. If P, Q, R and S work together, how many days do they need to complete the same job?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 2)
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Answer (Detailed Solution Below)

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Detailed Solution

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Given:

(P + Q) complete a job = 4 = 22/5

(R + S) complete a job = 4 = 44/9

Formula used:

Total work = efficiency × time

Calculation:

Efficiency Person Time Total work
10 (P + Q) 22/5 44
9 (R + S) 44/9

Now,

Total time taken by P, Q, R, and S together to complete the work:

⇒ 44/19 = 2 days

∴ The correct answer is 2 days.

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