X is twice as good a workman as Y and together they finish a piece of work in 22 days. In how many days will X alone finish the work?

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  1. 28 days
  2. 30 days
  3. 35 days
  4. 33 days

Answer (Detailed Solution Below)

Option 4 : 33 days
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Detailed Solution

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Given:

X is twice as good a workman as Y.

They together finish a piece of work in 22 days.

Concept Used:

Work = Efficiency × Time

Calculation:

Given Efficiency of X : Efficiency of Y = 2 : 1

Efficiency of (X + Y) = 3

Total Work = 3 × 22 = 66 units

X alone can do this work in 66/2 days = 33 days.

∴ The time taken by X to complete the work is 33 days.

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