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L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?
- a)19
- b)20
- c)18
- d)22
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
L alone can do a work in 30 days. M alone can do the same in 45 days. ...
Work done by L in one day = 1/30
Work done by M in one day = 1/45
Work done by L, M and N together in one day = 1/9
Work done by L and M together in one day = (1/30) + (1/45) = 1/18
Work done by N alone in one day = (1/9) – (1/18) = 1/18
Time taken by N alone to do the work = 1/(1/18) = 18 days
∴ Time taken by N alone to do the work = 18 days
Work done by M in one day = 1/45
Work done by L, M and N together in one day = 1/9
Work done by L and M together in one day = (1/30) + (1/45) = 1/18
Work done by N alone in one day = (1/9) – (1/18) = 1/18
Time taken by N alone to do the work = 1/(1/18) = 18 days
∴ Time taken by N alone to do the work = 18 days
Most Upvoted Answer
L alone can do a work in 30 days. M alone can do the same in 45 days. ...
Given Information:
- L can complete the work in 30 days
- M can complete the work in 45 days
- L, M, and N together can complete the work in 9 days
Calculation:
Let's assume the total work to be done is 90 units (LCM of 30, 45, and 9).
- L's work rate = 90/30 = 3 units/day
- M's work rate = 90/45 = 2 units/day
- L, M, and N's combined work rate = 90/9 = 10 units/day
Now, we can calculate N's work rate:
- L, M, and N's combined work rate = L's work rate + M's work rate + N's work rate
- 10 units/day = 3 units/day + 2 units/day + N's work rate
- N's work rate = 10 - 3 - 2 = 5 units/day
Final Calculation:
To find out how many days N alone can complete the work, we divide the total work (90 units) by N's work rate:
- N's time to complete the work = 90 units / 5 units/day = 18 days
Therefore, N alone can complete the work in 18 days. Hence, the correct answer is option 'C'.
- L can complete the work in 30 days
- M can complete the work in 45 days
- L, M, and N together can complete the work in 9 days
Calculation:
Let's assume the total work to be done is 90 units (LCM of 30, 45, and 9).
- L's work rate = 90/30 = 3 units/day
- M's work rate = 90/45 = 2 units/day
- L, M, and N's combined work rate = 90/9 = 10 units/day
Now, we can calculate N's work rate:
- L, M, and N's combined work rate = L's work rate + M's work rate + N's work rate
- 10 units/day = 3 units/day + 2 units/day + N's work rate
- N's work rate = 10 - 3 - 2 = 5 units/day
Final Calculation:
To find out how many days N alone can complete the work, we divide the total work (90 units) by N's work rate:
- N's time to complete the work = 90 units / 5 units/day = 18 days
Therefore, N alone can complete the work in 18 days. Hence, the correct answer is option 'C'.
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L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer?
Question Description
L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer?.
L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer?.
Solutions for L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer?, a detailed solution for L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of L alone can do a work in 30 days. M alone can do the same in 45 days. L, M and N together can do the same work in 9 days. In how many days can N alone do the work?a)19b)20c)18d)22Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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