# How Long will They Together take to Complete the Work? If

Beena can do a piece of work in 40 days. She works at it for 8 days and then Sangeeta finished it in 16 days. How long will they together take to complete the work?

- 46/3 days
- 31/3 days
- 40/3 days
- None of these

**Answer: (3) 40/ 3 days**

Explanation:-

Beena can do a piece of work = 40 days

Then, she can do work in a day = 1/40

Beena can do work in 8 days = 8 /40 = 1/ 5

Remaining work = 1 – 1/5

= 4/5

Sangeeta can do work in 16 days = 4 /5

Then, she can do work in 1 day = 4 / 5 x 16

= 1/20

Beena and Sangeeta both can do work in a day = 1 / 40 + 1/ 20

= (1 + 2) /40

They together can do complete the work = 40/ 3 days.

Hence, the answer is (3) 40 / 3 days.