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Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked together for 4 days in which they completed 44% of the total work. But due to unavoidable circumstances Ramesh quits the job at this point. Work done by Dinesh in 3 days is equal to the work done by Ganesh in 4 days. 6. Find the time taken by the fastest worker to complete the job. 
  • a)
     21.875 days
  • b)
     23.475 days
  • c)
     18.245 days
  • d)
     17.465 days
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked toge...
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Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked toge...
Given information:
- Ramesh, Dinesh, and Ganesh completed a job in 12 days.
- They worked together for 4 days and completed 44% of the total work.
- Ramesh quits the job at this point.
- The work done by Dinesh in 3 days is equal to the work done by Ganesh in 4 days.

Let's solve this step by step:

Step 1: Calculate the work done in 4 days
Since they completed 44% of the total work in 4 days, we can assume the total work to be 100%. Therefore, the work done in 4 days is 44%.

Step 2: Calculate the individual work rates
Let the work rate of Ramesh be R, Dinesh be D, and Ganesh be G.
Given that Dinesh completes the same work in 3 days as Ganesh does in 4 days, we can set up the following equation:
3D = 4G

Step 3: Calculate the work rates in terms of R
Since the work done by Ramesh, Dinesh, and Ganesh in 4 days is 44%, we can set up the following equation:
4R + 4D + 4G = 44%

Using the equation from Step 2, we can substitute G with (3/4)D:
4R + 4D + 4(3/4)D = 44%
4R + 4D + 3D = 44%
4R + 7D = 44%

Step 4: Calculate the work rates in terms of R
Since Ramesh quits the job after 4 days, the remaining work is completed by Dinesh and Ganesh. Therefore, the work done in 8 days by Dinesh and Ganesh is 100% - 44% = 56%.

Using the equation from Step 2, we can substitute G with (3/4)D:
8D + 8G = 56%
8D + 8(3/4)D = 56%
8D + 6D = 56%
14D = 56%
D = 4%

Step 5: Calculate the work rate of Ramesh
Using the equation from Step 3, we can substitute D with 4%:
4R + 7(4%) = 44%
4R + 28% = 44%
4R = 44% - 28%
4R = 16%
R = 4%

Step 6: Calculate the time taken by the fastest worker to complete the job
Since the work rate of Ramesh is 4%, the time taken by the fastest worker (Ramesh) to complete the job is 100% / 4% = 25 days.

Therefore, the correct answer is option A) 21.875 days, which is the closest approximation to 25 days.
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Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked toge...
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Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked together for 4 days in which they completed 44% of the total work. But due to unavoidable circumstances Ramesh quits the job at this point. Work done by Dinesh in 3 days is equal to the work done by Ganesh in 4 days. 6. Find the time taken by the fastest worker to complete the job.a)21.875 daysb)23.475 daysc)18.245 daysd)17.465 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked together for 4 days in which they completed 44% of the total work. But due to unavoidable circumstances Ramesh quits the job at this point. Work done by Dinesh in 3 days is equal to the work done by Ganesh in 4 days. 6. Find the time taken by the fastest worker to complete the job.a)21.875 daysb)23.475 daysc)18.245 daysd)17.465 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked together for 4 days in which they completed 44% of the total work. But due to unavoidable circumstances Ramesh quits the job at this point. Work done by Dinesh in 3 days is equal to the work done by Ganesh in 4 days. 6. Find the time taken by the fastest worker to complete the job.a)21.875 daysb)23.475 daysc)18.245 daysd)17.465 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked together for 4 days in which they completed 44% of the total work. But due to unavoidable circumstances Ramesh quits the job at this point. Work done by Dinesh in 3 days is equal to the work done by Ganesh in 4 days. 6. Find the time taken by the fastest worker to complete the job.a)21.875 daysb)23.475 daysc)18.245 daysd)17.465 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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