Ankit can do a piece of work in 8 days of 7 hours each and Binod can do it in 6 days of 8 hours each...........

Quantitative Aptitude (CDS) Time and work

Ankit can do a piece of work in 8 days of 7 hours each and Binod can do it in 6 days of 8 hours each. How long will they take to do it, working together 56/13 hours a day?

5 days

6 days

7 days

8 days

Explanation:

Ankit can complete the work in (8×7) = 56 hours.
Binod can complete the work in (6×8 ) = 48 hours.
Ankit's 1 hours work = 1/56
Binod's 1 hours work = 1/48
(Ankit + Binod)'s 1 hours work = (1/56 + 1/48 ) = 13/336
Both will finish the work in (336/13) hours.
Number of days of 56/13 hours each = (336/13) × (13/56)
= 6 days