A can do a piece of work in 24 days and B can do it in 80 days. B works alone for 2 days and A works alone on the 3rd day. This process continues till the work is completed. In how many days will the work be completed?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 45
Work done by A in a day = 1/24 units
Work done by B in a day = 1/80 units
Work done by B in 2 days = 2/80 = 1/40 units
Work done by both of them in 3 days = (1/24 + 1/40) = 8/120 = 1/15 units
To finish the work, they need to work in the such pattern 15 times.
Thus, the number of days taken by them = 3 × 15 = 45 days