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Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?
- a)3.5
- b)4
- c)4.5
- d)5
- e)5.5
Correct answer is option 'C'. Can you explain this answer?
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Two machines A and B work at constant rates which are in the ratio of ...
Given:
- Let the rate of machine A be x units of work per hour
- Therefore the rate of machine B = 2x units of ork per hour
- Let the total amount of work to be done be W units
- Time taken by machines A and B working together to complete
- Time taken by machines A and B working together to complete
- Machine A works alone for 18 hours
To Find: Time taken by machine B to complete the remaining work
Approach:
- We know that Work = Rate * Time
c. So, to find the time taken, we either need to find the amount of remaining work and the rate of machine B or the ratio of 
2. For finding the remaining work, we need to find the amount of work done by machine A in 18 hours
- Remaining work = W – work done by machine A in 18 hours
- Work done by machine A in 18 hours = Rate of machine A * 18
- As, rate of machine A is in terms of x, work done by machine A in 18 hours can be expressed in terms of x
- Remaining work = W – work done by machine A in 18 hours
- This will be an expression in terms of W and x. As the rate of machine B is in terms of x, we need to express W also in
- This will be an expression in terms of W and x. As the rate of machine B is in terms of x, we need to express W also in
3. We are given that machines A and B working together take 3 hours to complete W/3 units of work.
- We will use the above relation to express W in terms of x
Working out:
- Machines A and B working together take 3 hours to complete W/3 units of work
2. Amount of work done by machine A working alone for 18 hours = x * 18 = 18x
3. Remaining work = W – 18x = 27x – 18x = 9x
4. Amount of time taken by machine B to complete the remaining work =
4. Amount of time taken by machine B to complete the remaining work =
Answer : C
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Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct answer is option 'C'. Can you explain this answer?
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Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct 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 Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct 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 Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct answer is option 'C'. Can you explain this answer?.
Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct 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 Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct 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 Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct answer is option 'C'. Can you explain this answer?.
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Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two machines A and B work at constant rates which are in the ratio of 1:2 respectively. If the two machines work together, they can complete 1/3rd of a job in 3 hours. If machine A starts working on the job and works alone for 18 hours, how many hours would machine B working alone take to complete the remaining work?a)3.5b)4c)4.5d)5e)5.5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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