A and B are equally efficient, and each could individually complete a piece of work in 30 days if none took any holiday. A and B started working together on this piece of work, but A took a day off after every four days of work, while B took a day off after every five days of work. If the duo had started work on 01 August 2022, on which date was the work completed?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 18 August 2022.
We know that,
Efficiency is inversely proportional to the time of work
Let the total work in 30 units
The efficiency of A and B both = 30/30 = 1 unit
In 1st 4 days total work 4 × 2 = 8 units
5th and 6th day 1 unit each respectively.
Total work in 6 days 8 + 2 = 10 units
Total 10 × 3 = 30 units will be done in 6 × 3 = 18 days
So the work will be completed on 18 August 2022