Work and Time Calculation: 6 Women's Task
This problem involves calculating the time required to complete a fraction of a task given the time taken by a different number of workers. We can solve this using the concept of total work.
Understanding Total Work
The total amount of work is constant. It can be expressed as the product of the number of workers and the time they take.
- Initial condition: 66 women complete the work in 79 days.
- Total work = Number of women $\times$ Number of days
- Total work = $66 \times 79$ woman-days.
Calculating Required Work and Time
We need to find the time for 6 women to complete $\frac{1}{11}$ of the total work.
- Work to be done = $\frac{1}{11}$ of Total work
- Work to be done = $\frac{1}{11} \times (66 \times 79)$ woman-days
- Simplifying this: Work to be done = $\frac{66}{11} \times 79 = 6 \times 79$ woman-days.
- Let $D$ be the number of days required for 6 women to complete this portion of work.
- Work done by 6 women = $6 \times D$ woman-days.
- Equating the work required: $6 \times D = 6 \times 79$
- Solving for $D$: $D = \frac{6 \times 79}{6}$
- $D = 79$ days.
Therefore, 6 women require 79 days to complete $\frac{1}{11}$ of the work.
Similar Questions
- A contractor employs 15 men to complete a work in 24 days, working 8 hours per day. After six days, he adds five more men but also reduces the working hours to six per day from the seventh day onwards. If all men work with the same efficiency throughout, how many more days will be required to finish the remaining work?
- 6 women and 4 men can complete a work in 10 days, while 4 women and 5 men complete it in 10 days. In how many days will 8 women complete it?
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- A group of 5 men or 12 women can complete a task in 70 days. Find the time taken by 5 men and 12 women to complete the task.
- Athar can do a certain work in the same time in which Baban and Chetan together can do it. If Athar and Baban together could do it in 10 days and Chetan alone in 50 days, then Baban alone could do it in:
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- A, B, and C together can complete a task in 6 days. If A alone takes 12 days and B alone takes 18 days, how long will C alone take?
- A can complete a task in 15 days, and B can complete the same task in 20 days. How long will it take them to complete the task together?
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Important Questions from Time and Work
A and B can do a piece of work in 18 days. B and C together can do it in 30 days. If A is twice as good a workman as C, find in how many days B alone can do the work?
Two men and 7 women can complete a work in 28 days, whereas 6 men and 16 women can do the same work in 11 days. In how many days will 5 men and 4 women, working together, complete the same work?
A man and a woman, working together can do a work in 66 days. The ratio of their working efficiencies is 3 ∶ 2. In how many days 6 men and 2 women together can do the same work?
Each one of five men independently can complete a work in 20 days. The work is started by one person. Next day one more person joins and every next day one more person joins. From the fifth day, five persons continued working as a team. In how many days, will the work be completed?
Numan does half the work as Gagan in 4/5 of the time. If together they take 16 days to complete a piece of work, then how long will it take Gagan to complete the work?
