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Hari and Vijay can together finish a work in 30 days. They worked together for 20 days and then Vijay left. After another 20 days, hari finished the remaining work. In how many days hari alone can finish the work?
- a)45
- b)60
- c)35
- d)50
- e)65
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Hari and Vijay can together finish a work in 30 days. They worked toge...
Hari + vijay 20 days work = 1/30 *20 = 2/3
Remaining work = 1/3
1/3 work in 20 days so whole work in 60 days.
Remaining work = 1/3
1/3 work in 20 days so whole work in 60 days.
Most Upvoted Answer
Hari and Vijay can together finish a work in 30 days. They worked toge...
Let's solve this problem step by step:
1. Let's assume that Hari's efficiency is H and Vijay's efficiency is V.
2. We are given that Hari and Vijay can finish the work together in 30 days, so their combined efficiency is 1/30 per day.
3. After working together for 20 days, they would have completed 20 * (1/30) = 2/3 of the work.
4. This means that the remaining work is 1 - 2/3 = 1/3 of the total work.
5. Now, Vijay leaves and Hari works alone for another 20 days to complete the remaining 1/3 of the work.
6. Let's calculate how much work Hari can do in 1 day.
- In the first 20 days, when both Hari and Vijay were working, they were doing 1/30 of the work per day.
- So, Hari's contribution in those 20 days is 20 * (1/30) = 2/3 of the work.
- This means that Hari's daily efficiency is (2/3) / 20 = 1/30 per day.
7. Since Hari's daily efficiency is 1/30, he can complete the remaining 1/3 of the work in (1/3) / (1/30) = 10 days.
8. Therefore, Hari can finish the work alone in 20 + 10 = 30 days.
So, the correct answer is option B) 60 days.
1. Let's assume that Hari's efficiency is H and Vijay's efficiency is V.
2. We are given that Hari and Vijay can finish the work together in 30 days, so their combined efficiency is 1/30 per day.
3. After working together for 20 days, they would have completed 20 * (1/30) = 2/3 of the work.
4. This means that the remaining work is 1 - 2/3 = 1/3 of the total work.
5. Now, Vijay leaves and Hari works alone for another 20 days to complete the remaining 1/3 of the work.
6. Let's calculate how much work Hari can do in 1 day.
- In the first 20 days, when both Hari and Vijay were working, they were doing 1/30 of the work per day.
- So, Hari's contribution in those 20 days is 20 * (1/30) = 2/3 of the work.
- This means that Hari's daily efficiency is (2/3) / 20 = 1/30 per day.
7. Since Hari's daily efficiency is 1/30, he can complete the remaining 1/3 of the work in (1/3) / (1/30) = 10 days.
8. Therefore, Hari can finish the work alone in 20 + 10 = 30 days.
So, the correct answer is option B) 60 days.
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Hari and Vijay can together finish a work in 30 days. They worked together for 20 days and then Vijay left. After another 20 days, hari finished the remaining work. In how many days hari alone can finish the work?a)45b)60c)35d)50e)65Correct answer is option 'B'. Can you explain this answer?
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Hari and Vijay can together finish a work in 30 days. They worked together for 20 days and then Vijay left. After another 20 days, hari finished the remaining work. In how many days hari alone can finish the work?a)45b)60c)35d)50e)65Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Hari and Vijay can together finish a work in 30 days. They worked together for 20 days and then Vijay left. After another 20 days, hari finished the remaining work. In how many days hari alone can finish the work?a)45b)60c)35d)50e)65Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hari and Vijay can together finish a work in 30 days. They worked together for 20 days and then Vijay left. After another 20 days, hari finished the remaining work. In how many days hari alone can finish the work?a)45b)60c)35d)50e)65Correct answer is option 'B'. Can you explain this answer?.
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