Calculating Work Done Percentage
The problem asks us to find the percentage of work completed by a group of 60 men working for 6 days, given the rate at which 20 men complete the same work.
Total Work Calculation
First, we determine the total amount of work required, measured in 'man-days'. This represents the effort needed to complete the entire piece of work.
Total Work = (Number of men) \times (Number of days)
Given: 20 men can do the work in 45 days.
Total Work = 20 \text{ men} \times 45 \text{ days} = 900 \text{ man-days}
Work Done by 60 Men
Next, we calculate the amount of work done by the second group of men in the specified time.
Work Done = (Number of men) \times (Number of days)
Given: 60 men work for 6 days.
Work Done = 60 \text{ men} \times 6 \text{ days} = 360 \text{ man-days}
Percentage of Work Done
Finally, we calculate the percentage of the total work that was completed by the 60 men in 6 days.
Percentage Work Done = \left( \frac{\text{Work Done}}{\text{Total Work}} \right) \times 100\%
Percentage Work Done = \left( \frac{360 \text{ man-days}}{900 \text{ man-days}} \right) \times 100\%
Percentage Work Done = \left( \frac{36}{90} \right) \times 100\%
Percentage Work Done = \left( \frac{4}{10} \right) \times 100\%
Percentage Work Done = 0.4 \times 100\% = 40\%
Therefore, 60 men complete 40% of the total work in 6 days.
Similar Questions
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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?
