# In How Many Days can They Complete the Work? If

P can complete a work in 12 days working 8 hours a day, Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

- 55/11
- 60/11
- 71/11
- 72/11

**Answer: (2) 60/11**

**Explanation:-**

P can complete the work in working 8 hours a day = 12 days

Then, P can do the work in working a hour in a day = 1/12 x 8

= 1/96

Q can complete the work in working 10 hour in a day = 8 days

Then, Q can do the work in working in 1 hour in a day = /8 x 10

= 1/80

P and Q can do work together 8 hour in day = (1/96 + 1/80) x 8

= ( 5 + 6) x 8/480

= 11/60

Then, they can complete the work = 60/11 days days

Hence, the answer is (2) 60/11