Abraham can complete a work in 9 days, while Andrew can complete the same work in 6 days. In how many days can they complete the work if they work together?

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
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  1. 2
  2. \(3{3 \over 5}\)
  3. \(2{3 \over 5}\)
  4. 3

Answer (Detailed Solution Below)

Option 2 : \(3{3 \over 5}\)
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Detailed Solution

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Given:

Abraham can complete a work in 9 days, while Andrew can complete the same work in 6 days.

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day 

Calculation:

Let total work is 18 units ( Lcm of 6 and9 )

The efficiency of Abraham is

⇒ 18 / 6 = 3 unit

Again, the Efficiency of Andrew  is,

⇒ 18 / 9 = 2 unit

Total Efficiency,

⇒ 3 + 2  = 5 unit

The number of days required is,

⇒ 18 /5 = \(3{3 \over 5}\) days

∴ The correct option is 2

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