Question
Download Solution PDFTwo men can complete a piece of work in 6 days. Two women can complete the same work in 9 days, whereas 3 children can complete the same piece of work in 8 days. 3 women and 4 children worked together for 1 day. If only men were to finish the remaining work in 1 day, how many men would be required?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
2 men can finish the work = 6 days
2 woman can finish the work = 4 days
3 children can finish the work = 8 days
Formula used:
Total work = efficiency × time
Formula used:
Work done per day by a group = 1 / (Total days taken by the group)
Calculation:
Work done by 2 men in 1 day =
Work done by 1 man in 1 day =
Work done by 2 women in 1 day =
Work done by 1 woman in 1 day =
Work done by 3 children in 1 day =
Work done by 1 child in 1 day =
Work done by 3 women in 1 day =
Work done by 4 children in 1 day =
Total work done by 3 women and 4 children in 1 day =
Remaining work =
Let x men complete the remaining work in 1 day:
⇒
∴ The required number of men = 8
Last updated on May 16, 2025
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