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Rahul and Alia can together finish work in 60 days. They worked it for 40 days and then Alia left the work. The remaining work was done by Rahul alone in 40 days more. In how many days can Rahul alone finish the work?
- a)100 days
- b)80 days
- c)120 days
- d)140 days
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Rahul and Alia can together finish work in 60 days. They worked it fo...
⇒ Par of work done by Rahul and Alia together in 1 day =
⇒ Part of work done by Rahul and Alia in 40 days = 
⇒ Remaining work = 1 – 
⇒ 1/3 work is done in 40 days
⇒ ∴Rahul can finish work in 40 × 3 = 120 days.
Hence, the correct option is (c).
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Community Answer
Rahul and Alia can together finish work in 60 days. They worked it fo...
To solve this question, we can use the concept of work done and time taken. Let's break down the problem step by step:
1. Let's assume that Rahul can finish the work alone in 'R' days and Alia can finish the work alone in 'A' days.
2. We are given that Rahul and Alia together can finish the work in 60 days. Using the concept of work done, we can say that their combined work rate is 1/60.
3. After working together for 40 days, we are told that Alia leaves the work. This means that only Rahul is left to complete the remaining work.
4. We are also given that Rahul completes the remaining work in 40 more days. Therefore, the work done by Rahul alone in these 40 days is equal to the remaining work.
5. Let's calculate the work done by Rahul alone in 40 days. Since Rahul and Alia together can complete the work in 60 days, their combined work rate is 1/60. So, Rahul's work rate alone would be 1/60 - 1/A (as Alia is not working anymore).
6. As Rahul works for 40 more days, the work done by him alone would be (1/60 - 1/A) * 40.
7. Since the work done by Rahul alone in these 40 days is equal to the remaining work, we can set up the equation:
(1/60 - 1/A) * 40 = 1
8. Simplifying the equation, we get:
(1/60 - 1/A) = 1/40
9. Combining the fractions, we get:
(A - 60)/(60A) = 1/40
10. Cross-multiplying, we get:
40(A - 60) = 60A
11. Simplifying the equation, we get:
40A - 2400 = 60A
12. Rearranging the equation, we get:
20A = 2400
13. Dividing both sides by 20, we get:
A = 120
Hence, Alia can finish the work alone in 120 days. Since we are asked to find the number of days Rahul alone can finish the work, the answer is 120 days (option C).
1. Let's assume that Rahul can finish the work alone in 'R' days and Alia can finish the work alone in 'A' days.
2. We are given that Rahul and Alia together can finish the work in 60 days. Using the concept of work done, we can say that their combined work rate is 1/60.
3. After working together for 40 days, we are told that Alia leaves the work. This means that only Rahul is left to complete the remaining work.
4. We are also given that Rahul completes the remaining work in 40 more days. Therefore, the work done by Rahul alone in these 40 days is equal to the remaining work.
5. Let's calculate the work done by Rahul alone in 40 days. Since Rahul and Alia together can complete the work in 60 days, their combined work rate is 1/60. So, Rahul's work rate alone would be 1/60 - 1/A (as Alia is not working anymore).
6. As Rahul works for 40 more days, the work done by him alone would be (1/60 - 1/A) * 40.
7. Since the work done by Rahul alone in these 40 days is equal to the remaining work, we can set up the equation:
(1/60 - 1/A) * 40 = 1
8. Simplifying the equation, we get:
(1/60 - 1/A) = 1/40
9. Combining the fractions, we get:
(A - 60)/(60A) = 1/40
10. Cross-multiplying, we get:
40(A - 60) = 60A
11. Simplifying the equation, we get:
40A - 2400 = 60A
12. Rearranging the equation, we get:
20A = 2400
13. Dividing both sides by 20, we get:
A = 120
Hence, Alia can finish the work alone in 120 days. Since we are asked to find the number of days Rahul alone can finish the work, the answer is 120 days (option C).
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Rahul and Alia can together finish work in 60 days. They worked it for 40 days and then Alia left the work. The remaining work was done by Rahul alone in 40 days more. In how many days can Rahul alone finish the work?a)100 daysb)80 daysc)120 daysd)140 daysCorrect answer is option 'C'. Can you explain this answer?
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Rahul and Alia can together finish work in 60 days. They worked it for 40 days and then Alia left the work. The remaining work was done by Rahul alone in 40 days more. In how many days can Rahul alone finish the work?a)100 daysb)80 daysc)120 daysd)140 daysCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rahul and Alia can together finish work in 60 days. They worked it for 40 days and then Alia left the work. The remaining work was done by Rahul alone in 40 days more. In how many days can Rahul alone finish the work?a)100 daysb)80 daysc)120 daysd)140 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rahul and Alia can together finish work in 60 days. They worked it for 40 days and then Alia left the work. The remaining work was done by Rahul alone in 40 days more. In how many days can Rahul alone finish the work?a)100 daysb)80 daysc)120 daysd)140 daysCorrect answer is option 'C'. Can you explain this answer?.
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