Komal can do a work in 51 days. Bimal is 50% more efficient than Komal in doing the work. In how many days Bimal will do that work?

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  1. 44 days
  2. 32 days
  3. 34 days
  4. \(10 \frac{1}{2}\)days

Answer (Detailed Solution Below)

Option 3 : 34 days
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Detailed Solution

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Given:

Komal can do a work in 51 days.

Bimal is 50% more efficient than Komal in doing the work.

Formula Used:

Efficiency Ratio: Bimal : Komal = 3 : 2

Total Work = Komal's Time × Komal's Efficiency

Time taken by Bimal to complete the task = Total Work / Bimal's Efficiency

Calculation:

Komal's efficiency = 1/51

Bimal's efficiency = 1.5 × Komal's efficiency

Bimal's efficiency = 1.5 × (1/51) = 3/102

Total Work = 51 × (1/51) = 1

Time taken by Bimal to complete the task = 1 / (3/102)

⇒ Time taken by Bimal to complete the task = 102 / 3

⇒ Time taken by Bimal to complete the task = 34 days

The correct answer is Option 3.

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