P can do a piece of the work in 18 days and Q can do same work in 36 days How long will they take in...........

Quantitative Aptitude (MTS) Time and work

P can do a piece of the work in 18 days and Q can do same work in 36 days. How long will they take (in days), if they work

together, to complete the above mentioned work?

- P can complete the entire work in 18 days, so P's work rate is 1/18 of the work per day.

- Q can complete the same work in 36 days, so Q's work rate is 1/36 of the work per day.

- When P and Q work together, their combined work rate is (1/18 + 1/36) of the work per day.

- To find their combined rate:

- Convert to a common denominator: 1/18 = 2/36

- Combined work rate: (2/36 + 1/36) = 3/36 = 1/12 of the work per day.

- Therefore, they will complete the work together in 12 days.

- Option 2: 12 days is the correct answer.

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