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Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?
- a)14.5
- b)11
- c)13.5
- d)12
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Ramesh and Ganesh can together complete a work in 16 days. After seven...
Let 'R' and 'G' be the amount of work that Ramesh and Ganesh can complete in a day.
It is given that they can together complete a work in 16 days. Hence, total amount of work = 16(R+G) ... (1)
For first 7 days both of them worked together. From 8th day, Ramesh worked at 70% of his original efficiency whereas Ganesh worked at his original efficiency. It took them 17 days to finish the same work. i.e. Ramesh worked at 70% of his original efficiency for 10 days.
Total amount of work left when Ramesh got sick = 16(R+G) - 7(R+G) = 9(R+G) = 9(0.5+G) = 13.5G
Therefore, time taken by Ganesh to complete the remaining work =
It is given that they can together complete a work in 16 days. Hence, total amount of work = 16(R+G) ... (1)
For first 7 days both of them worked together. From 8th day, Ramesh worked at 70% of his original efficiency whereas Ganesh worked at his original efficiency. It took them 17 days to finish the same work. i.e. Ramesh worked at 70% of his original efficiency for 10 days.
Total amount of work left when Ramesh got sick = 16(R+G) - 7(R+G) = 9(R+G) = 9(0.5+G) = 13.5G
Therefore, time taken by Ganesh to complete the remaining work =
Most Upvoted Answer
Ramesh and Ganesh can together complete a work in 16 days. After seven...
Given:
Ramesh and Ganesh can together complete a work in 16 days.
After seven days of working together, Ramesh got sick and his efficiency fell by 30%.
As a result, they completed the work in 17 days instead of 16 days.
Approach:
Let the total work be represented by 1 unit.
Let the efficiency of Ramesh and Ganesh be represented by R and G respectively.
Since work completed by Ramesh and Ganesh together in 1 day is 1/16, their combined efficiency is R + G = 1/16.
After Ramesh got sick, their combined efficiency became (0.7R + G) = 1/17.
Calculations:
1. After 7 days of working together, the work completed by Ramesh and Ganesh is 7*(R+G).
2. The remaining work to be completed is 1 - 7*(R+G).
3. As per the new efficiency, the work completed by Ramesh and Ganesh in 10 days is 10*(0.7R+G).
4. The remaining work to be completed is 1 - 7*(R+G) - 10*(0.7R+G).
5. Ganesh completes the remaining work alone, which is equal to 1 - 7*(R+G) - 10*(0.7R+G).
Therefore, Ganesh would have completed the remaining work in 13.5 days (option c).
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Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?a)14.5b)11c)13.5d)12Correct answer is option 'C'. Can you explain this answer?
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Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?a)14.5b)11c)13.5d)12Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?a)14.5b)11c)13.5d)12Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?a)14.5b)11c)13.5d)12Correct answer is option 'C'. Can you explain this answer?.
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