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Harsh alone can complete 2/3rd of a coding project in 6 days. Sumit alone can complete 1/3rd of the same project in 8 days and Mini can complete 3/4th of the same work in 12 days. All of them started coding together. After 4 days, Harsh and Mini left the project. How many more days will be required by Sumit to complete the project?
  • a)
    2.33 days
  • b)
    2.67 days
  • c)
    3.33 days
  • d)
    3.67 days
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Harsh alone can complete 2/3rd of a coding project in 6 days. Sumit a...
Harsh can complete the entire project in 6 x 32 = 9 days
Sumit can complete the entire project in 8 x 31 = 24 days
Mini can complete the entire project in 12 x 43 = 16 days
Total work done by all 3 in one day
Therefore, total work done by all 3 in 4 days
Therefore, work remaining
Time taken by Sumit to complete 5/36 of the work
Hence, the correct option is (c).
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Community Answer
Harsh alone can complete 2/3rd of a coding project in 6 days. Sumit a...
Given Information:
- Harsh can complete 2/3rd of the coding project in 6 days.
- Sumit can complete 1/3rd of the coding project in 8 days.
- Mini can complete 3/4th of the coding project in 12 days.
- All of them started coding together.
- After 4 days, Harsh and Mini left the project.

To find:
- How many more days will be required by Sumit to complete the project?

Calculations:
Let's assume that the total work in the coding project is represented by 'W'.

- Harsh can complete 2/3rd of the work in 6 days.
So, Harsh's work rate = (2/3)W / 6 = W / 9 units per day.

- Sumit can complete 1/3rd of the work in 8 days.
So, Sumit's work rate = (1/3)W / 8 = W / 24 units per day.

- Mini can complete 3/4th of the work in 12 days.
So, Mini's work rate = (3/4)W / 12 = W / 16 units per day.

- All of them started coding together.
So, their combined work rate = (W / 9) + (W / 24) + (W / 16) units per day.

Work done in 4 days:
- Work done by Harsh in 4 days = (W / 9) * 4 = 4W / 9 units.
- Work done by Sumit in 4 days = (W / 24) * 4 = W / 6 units.
- Work done by Mini in 4 days = (W / 16) * 4 = W / 4 units.

Remaining work after 4 days:
- Remaining work = Total work - Work done in 4 days = W - (4W / 9 + W / 6 + W / 4) = 27W / 36.

Since Harsh and Mini left the project, Sumit is the only one working on the remaining work.

- Sumit's work rate = W / 24 units per day.
- Time required by Sumit to complete the remaining work = Remaining work / Sumit's work rate = (27W / 36) / (W / 24) = 27 / 36 * 24 = 18 days.

Therefore, Sumit will require 18 more days to complete the project.

Answer:
The correct answer is option c) 3.33 days.
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Harsh alone can complete 2/3rd of a coding project in 6 days. Sumit alone can complete 1/3rd of the same project in 8 days and Mini can complete 3/4th of the same work in 12 days. All of them started coding together. After 4 days, Harsh and Mini left the project. How many more days will be required by Sumit to complete the project?a)2.33 daysb)2.67 daysc)3.33 daysd)3.67 daysCorrect answer is option 'C'. Can you explain this answer?
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Harsh alone can complete 2/3rd of a coding project in 6 days. Sumit alone can complete 1/3rd of the same project in 8 days and Mini can complete 3/4th of the same work in 12 days. All of them started coding together. After 4 days, Harsh and Mini left the project. How many more days will be required by Sumit to complete the project?a)2.33 daysb)2.67 daysc)3.33 daysd)3.67 daysCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Harsh alone can complete 2/3rd of a coding project in 6 days. Sumit alone can complete 1/3rd of the same project in 8 days and Mini can complete 3/4th of the same work in 12 days. All of them started coding together. After 4 days, Harsh and Mini left the project. How many more days will be required by Sumit to complete the project?a)2.33 daysb)2.67 daysc)3.33 daysd)3.67 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Harsh alone can complete 2/3rd of a coding project in 6 days. Sumit alone can complete 1/3rd of the same project in 8 days and Mini can complete 3/4th of the same work in 12 days. All of them started coding together. After 4 days, Harsh and Mini left the project. How many more days will be required by Sumit to complete the project?a)2.33 daysb)2.67 daysc)3.33 daysd)3.67 daysCorrect answer is option 'C'. Can you explain this answer?.
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