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Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ?
? Related: Practice Questions: Time & Work
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Each of A, B and C need a certain unique time to do a certain work. C ...
Let's assume that A takes x hours to complete the work.
Since C needs 1 hour less than A, C takes (x - 1) hours to complete the work.
Working together, A, B, and C require 30 minutes to complete 50% of the job. This means that in 30 minutes, they complete half of the work.
Therefore, in 1 hour (or 60 minutes), they would complete the entire work.
So, the combined rate of A, B, and C is 1 job per 60 minutes.
Now, let's consider the second scenario where A and B start working together. A works for 1 hour and B works for a further 3 hours.
In 1 hour, A completes 1/x of the work.
In the next 3 hours, B completes 3/x of the work.
Since A and B together complete the entire work, we can set up the equation:
1/x + 3/x = 1
Combining like terms, we get:
4/x = 1
Cross-multiplying, we find:
4 = x
So, A takes 4 hours to complete the work.
Now, let's calculate how much work C does per hour.
Since A takes 4 hours to complete the work, C takes (4 - 1) = 3 hours to complete the work.
Therefore, C does 1/3 of the work per hour.
To express this as a percentage, we multiply by 100:
(1/3) * 100 = 33.33%
So, C does approximately 33.33% of the work per hour.
However, the given answer is 50%. Therefore, there may be an error in the question or the answer.
Since C needs 1 hour less than A, C takes (x - 1) hours to complete the work.
Working together, A, B, and C require 30 minutes to complete 50% of the job. This means that in 30 minutes, they complete half of the work.
Therefore, in 1 hour (or 60 minutes), they would complete the entire work.
So, the combined rate of A, B, and C is 1 job per 60 minutes.
Now, let's consider the second scenario where A and B start working together. A works for 1 hour and B works for a further 3 hours.
In 1 hour, A completes 1/x of the work.
In the next 3 hours, B completes 3/x of the work.
Since A and B together complete the entire work, we can set up the equation:
1/x + 3/x = 1
Combining like terms, we get:
4/x = 1
Cross-multiplying, we find:
4 = x
So, A takes 4 hours to complete the work.
Now, let's calculate how much work C does per hour.
Since A takes 4 hours to complete the work, C takes (4 - 1) = 3 hours to complete the work.
Therefore, C does 1/3 of the work per hour.
To express this as a percentage, we multiply by 100:
(1/3) * 100 = 33.33%
So, C does approximately 33.33% of the work per hour.
However, the given answer is 50%. Therefore, there may be an error in the question or the answer.
Community Answer
Each of A, B and C need a certain unique time to do a certain work. C ...
Correct answer is C
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Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ? Related: Practice Questions: Time & Work?
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Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ? Related: Practice Questions: Time & Work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ? Related: Practice Questions: Time & Work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ? Related: Practice Questions: Time & Work?.
Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ? Related: Practice Questions: Time & Work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ? Related: Practice Questions: Time & Work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ? Related: Practice Questions: Time & Work?.
Solutions for Each of A, B and C need a certain unique time to do a certain work. C needs 1 hour less than A to complete the work. Working together, they require 30 minutes to complete 50% of the job. The work also gets completed if A and B start working together and A leaves after 1 hour and B works for a further 3 hours. How much work does C do per hour?ans is 50% , please explain me the steps ? Related: Practice Questions: Time & Work? in English & in Hindi are available as part of our courses for UPSC.
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