A can complete \(1 \over 3\) of a work in 7 days and B can complete \(2 \over 7\) of the same work in 10 days. In how many days can both A and B together complete the work?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 2)
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  1. \(12{3 \over 8}\)
  2. \(11{7 \over 8}\)
  3. \(13{1 \over 8}\)
  4. \(15{1 \over 7}\)

Answer (Detailed Solution Below)

Option 3 : \(13{1 \over 8}\)
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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\(1\over8\) days

∴ The correct answer is 13\(1\over8\) days.

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