# In How Many Days will the Work be Completed? If

Anuj, Vikram and Sameer alone can complete a work in 20 days, 30 days and 60 days respectively. Anuj works alone, however on every third day, he takes the help of Vikram and Sameer. In how many days will the work be completed?

- 25 days
- 15 days
- 18 days
- 21 days

**Answer: (2) 15 days**

**Explanation:-**

Anuj can complete a work = 20 days

Then, Anuj can do work in a day = 1/20

Vikram can complete the work = 30 days

Vikram can do work in a day = 1/30

Sameer can complete the work = 60 days

Sameer can dowork in a day = 1/60

Anuj, Vikram & Sameer can together work in a day = 1/20 + 1/30 + 1/60

= (3 + 2 + 1) /60

= 6/ 60

= 1/10

Anuj works alone, however on every third day, he takes the help of Vikram and Sameer.

Therefore, they can work together = 1/ 20 + 1/20 + 1/10

= (1 + 1 + 2)/20

= 4/ 20

= 1/ 5

Then, they can complete the work = 3 x 5

= 15 days.

Hence, answer is (2) 15 days.