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A can complete  of a work in 7 days and B can complete  of the same work in 10 days. In how many days can both A and B together complete the work?

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

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Given:

A can complete a work = 7 × 3 = 21 days

B can complete a work = 10 × (7/2) = 35 days

Formula used:

Total work = efficiency × time

Calculation:

Efficiency Person Time Total work
5 A 21 105
3 B 35

Now,

Time taken by A and B together to complete the work = 105/8

⇒ 13 days

∴ The correct answer is 13 days.

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