# How long will P Take to Finish the Work Alone? If

P and Q can finish a work in 30 They worked at it for 10 days and then Q left. The remaining work is done by P alone in 20 more days. How long will P take to finish the work alone?

- 30 days
- 20 days
- 60 days
- 50 days

**Answer: (3) 60 days**

**Explanation:-**

P and Q can finish a work = 30 days

Then, P and Q can do work in a day = 1/30

They worked together = 10 days

Then, they can together work in 10 days = 10/30

= 1/3

Remaining work = 1 – 1/3

= (3 – 1)/3

= 2/3

P alone can 2/3rd work = 20 days

Then, P can do work in a day = 2/3 x 20 x 2

= 1/60

P can finish work = 60 days.

Hence, the answer is (3) 60 days.