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?

This questions was previously asked in

SSC MTS 20th October 2021 Shift-3

- P can finish the work in 18 days. This means P does 1/18 of the work in one day.

- Q can finish the work in 36 days. This means Q does 1/36 of the work in one day.

- When P and Q work together, their combined work per day is 1/18 + 1/36.

- To combine their work rates:

\frac{1}{18} + \frac{1}{36} = \frac{2}{36} + \frac{1}{36} = \frac{3}{36} = \frac{1}{12}

- Together, they can complete 1/12 of the work in one day.

- Therefore, they will finish the work in 12 days when working together.

- Option 2: 12 is the correct choice.

Correct Answer: Option 2 - 12

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