Work Completion Time Analysis
The question asks to determine which individual among A, B, C, and D will complete a given piece of work first, assuming they start simultaneously. To find this, we need to calculate the total time each person requires to finish the entire work.
Calculating Individual Work Duration
We are given the fraction of work each person completes in a specific number of days. We can use this information to find the time needed for each to complete 1 whole unit of work.
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Person A:
Completes $\frac{1}{5}$ of the work in 12 days.
Time for A to complete the whole work = $12 \times 5 = 60$ days.
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Person B:
Completes $20\%$ of the work in 10 days. Since $20\% = \frac{20}{100} = \frac{1}{5}$, B completes $\frac{1}{5}$ of the work in 10 days.
Time for B to complete the whole work = $10 \times 5 = 50$ days.
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Person C:
Completes $\frac{1}{6}$ of the work in 8 days.
Time for C to complete the whole work = $8 \times 6 = 48$ days.
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Person D:
Completes $\frac{1}{5}$ of the work in 12 days.
Time for D to complete the whole work = $12 \times 5 = 60$ days.
Comparing Completion Times
Now, let's compare the total time each person needs to complete the work:
- A: 60 days
- B: 50 days
- C: 48 days
- D: 60 days
The individual who requires the minimum time to complete the work will finish first. Comparing the times, C requires the least time (48 days).
Conclusion
Therefore, C will complete the work first if all four started to work at the same time.
Similar Questions
- A can do a certain work in 45 days. B is 50% more efficient than A, and C is 3 times as fast as A. They started the work together but C left 7 days before completion of the work. In how many days was the entire work completed?
Manoj is twice as efficient a fisherman as Anuraj, and together they complete a piece of work in 22 days. In how many days can Anuraj alone complete the same work?
- Five women can do a work in thirty six days. If the ratio between the capacity of a man and a woman is 3:1, then find how many days it will take 5 men to complete the same work?
- If 15 persons can do a job in 30 days, then 30 persons with twice the efficiency can do the same job in how many days?
- Raju is thrice as good as a workman as Vinod and together they can finish a task in 21 days. In how many days can Vinod alone complete the work?
- If Raju is thrice as good workman as Ravi and takes 20 days less than him to complete a piece of work, then find the time taken by Ravi to complete the work.
- John is only 40% as efficient as Jesse. If John alone can do a piece of work in 35 days, how many days will it take the duo to complete the work, if they work together?
- Kamal can complete a work in 14 days. Vimal is 40% more efficient than Kamal. The number of days Vimal will take to complete the same piece of work is:
- Raj is 60% more efficient than Sundar and Sundar can finish a certain task in 16 days. How many days will Raj alone take to complete the same task?
- 21 women can complete a task in 40 days. 30 men can complete the task in 21 days. What is the ratio of the number of days a man will take to complete the task alone to the number of days a woman will need to do that task?
Important Questions from Work Efficiency
Sumi can complete a job working 5 hours per day in 2 days. If she doubles her working hours per day, then in how many days will she complete the work?
Five men and 2 boys can do in 30 days as much work as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?
A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work further increased by 50%?
24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?
3 men working 7 hours a day can complete a piece of work in 45 days. In how many days will 9 men working 6 hours a day complete the same work?
