P is twice as good as Q and together they finish a piece of work in 36 days The number of days taken...........

Quantitative Aptitude (MTS) Time and work

P is twice as good as Q and together they finish a piece of work in 36 days. The number of days taken by P alone to finish the work?

- P is twice as good as Q: This means P does the work twice as fast as Q. If Q's work rate is x, then P's rate is 2x.

- Together, P and Q finish the work in 36 days. Their combined work rate is 1/36 (since they complete 1 job together in 36 days).

- Let's express their individual rates: P = 2x, Q = x.

- Combined, they work at a rate of 3x (because 2x + x = 3x).

- Set this equal to their combined rate: 3x = 1/36.

- Solve for x: x = 1/108 (Q's rate).

- P's rate is then 2x = 2/108 = 1/54.

- Time taken by P alone to complete the work is reciprocal of P's rate: 54 days.

- Option 3: 54 is correct.

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