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
- 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.
- 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?
- 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:
- 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?
- 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?
- 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?
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?
Important Questions from Work Efficiency
A and B together can complete a certain work in 20 days whereas B and C together can complete it in 24 days. If A is twice as good a workman as C, then in what time will B alone do 40% of the same work?
14 men can complete a work in 15 days. If 21 men are employed, then in how many days will they complete the same work?
A can do a certain work in 15 days, while B can do the same work in 21 days. If they work together, then in how many days will the same work be completed?
To do a certain work, A and B work on alternate days with B beginning the work on the first day. A alone can complete the same work in 24 days. If the work gets completed in \(11 \frac{1}{3}\) days, then B alone can complete \(\rm \frac{7}{9}^{th}\) part of the original work in:
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 can 7 men complete the same work?
