Railways Exam > Railways Questions > A, B and C together can complete a work in 25...
Start Learning for Free
A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?
- a)727/6
- b)725/6
- c)775/6
- d)745/6
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A, B and C together can complete a work in 25 days. If the ratio of ef...
Ratio of efficiency of A, B and C = 15 ∶ 10 ∶ 6
Ratio of time of A, B and C = 1/15 ∶ 1/10 ∶ 1/6 = 2 ∶ 3 ∶ 5
Let A alone can complete the work in = 2x days
B alone can complete the work in = 3x days
And C alone can complete the work in = 5x days
According to the question,
1/2x + 1/3x + 1/5x = 1/25
⇒ 31/30x = 1/25
⇒ x = 155/6
So, C alone can complete the work in = 5x = 5 × 155/6 = 775/6 days
Short trick:
Total work = (15 + 10 + 6) × 25 = 31 × 25 = 775
∴ C will complete the work = 775/6
Most Upvoted Answer
A, B and C together can complete a work in 25 days. If the ratio of ef...
Given, A:B:C = 15:10:6
Let the common ratio be x
Then, A's efficiency = 15x, B's efficiency = 10x, C's efficiency = 6x
Efficiency of A, B and C together = 15x + 10x + 6x = 31x
They can complete the work in 25 days
Therefore, the total work = Efficiency × Time = 31x × 25
To find the number of days taken by C alone to complete the same work:
Let C alone takes 'd' days to complete the work
Then, efficiency of C = Total work / Time = 31x × 25 / d
As per the given ratio, C's efficiency = 6x
Equating the above two equations, we get:
31x × 25 / d = 6x
d = 31 × 25 / 6 = 775/6
Therefore, C alone can complete the work in 775/6 days or 129 1/6 days (approx).
Hence, the correct answer is option C.
Let the common ratio be x
Then, A's efficiency = 15x, B's efficiency = 10x, C's efficiency = 6x
Efficiency of A, B and C together = 15x + 10x + 6x = 31x
They can complete the work in 25 days
Therefore, the total work = Efficiency × Time = 31x × 25
To find the number of days taken by C alone to complete the same work:
Let C alone takes 'd' days to complete the work
Then, efficiency of C = Total work / Time = 31x × 25 / d
As per the given ratio, C's efficiency = 6x
Equating the above two equations, we get:
31x × 25 / d = 6x
d = 31 × 25 / 6 = 775/6
Therefore, C alone can complete the work in 775/6 days or 129 1/6 days (approx).
Hence, the correct answer is option C.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer?
Question Description
A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer?.
A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer?.
Solutions for A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A, B and C together can complete a work in 25 days. If the ratio of efficiency of A, B and C is 15 ∶ 10 ∶ 6 respectively, then in how many days C alone can complete the same work?a)727/6b)725/6c)775/6d)745/6Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup