Question
Download Solution PDFA 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
Concept used:
Efficiency is inversely proportional to the time of work.
Calculation:
Lets total work in 30 units
The efficiency of A and B both is 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 = 10units
Total 10 × 3 = 30 units will be done in 6×3 = 18days
So the work will be completed in 18 August 2022
∴ The correct option is 4
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