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Working alone Jerry can complete a work in 6 minutes. Working alone, Adam can complete a work in 8 minutes. Working together, Jerry leaves the work after 2 minutes. How long will it take Adam to complete the work?
- a)2 minutes
- b)3 minutes
- c)10/3 minutes
- d)5 minutes
- e)10 minutes
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Working alone Jerry can complete a work in 6 minutes. Working alone, A...
The total work to be done, which is equivalent to the least common multiple (LCM) of 6 and 8, is 24 units. Jerry's rate is 4 units per minute, while Adam's rate is 3 units per minute. When working together, they can complete 7 units per minute.
In 2 minutes of working together, they complete 14 units. Therefore, there are 10 units remaining to be done, which is calculated by subtracting 14 units from the total of 24 units. Adam alone will be able to complete these remaining 10 units in 10/3 minutes.
Therefore, the answer is C.
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Community Answer
Working alone Jerry can complete a work in 6 minutes. Working alone, A...
Given:
- Jerry can complete a work in 6 minutes.
- Adam can complete a work in 8 minutes.
- Jerry leaves the work after 2 minutes when they are working together.
To find:
- How long will it take Adam to complete the work?
Solution:
When working together, Jerry and Adam can complete 1/6th of the work in 1 minute (since Jerry takes 6 minutes to complete the work alone) and 1/8th of the work in 1 minute (since Adam takes 8 minutes to complete the work alone).
Step 1: Calculate the work done by Jerry and Adam in 2 minutes.
- Jerry completes 2/6th of the work in 2 minutes.
- Adam completes 2/8th of the work in 2 minutes.
Step 2: Calculate the remaining work.
- The remaining work after 2 minutes is 1 - (2/6) = 4/6th.
- The remaining work after 2 minutes is also 1 - (2/8) = 6/8th.
Step 3: Calculate the work done by Adam in 1 minute.
- Adam can complete 1/8th of the work in 1 minute.
- Adam can complete (1/8) / 2 = 1/16th of the work in 2 minutes.
Step 4: Calculate the time taken by Adam to complete the remaining work.
- Adam can complete the remaining work (4/6) in (4/6) * (2/1/16) = 10/3 minutes.
Therefore, it will take Adam 10/3 minutes to complete the work.
- Jerry can complete a work in 6 minutes.
- Adam can complete a work in 8 minutes.
- Jerry leaves the work after 2 minutes when they are working together.
To find:
- How long will it take Adam to complete the work?
Solution:
When working together, Jerry and Adam can complete 1/6th of the work in 1 minute (since Jerry takes 6 minutes to complete the work alone) and 1/8th of the work in 1 minute (since Adam takes 8 minutes to complete the work alone).
Step 1: Calculate the work done by Jerry and Adam in 2 minutes.
- Jerry completes 2/6th of the work in 2 minutes.
- Adam completes 2/8th of the work in 2 minutes.
Step 2: Calculate the remaining work.
- The remaining work after 2 minutes is 1 - (2/6) = 4/6th.
- The remaining work after 2 minutes is also 1 - (2/8) = 6/8th.
Step 3: Calculate the work done by Adam in 1 minute.
- Adam can complete 1/8th of the work in 1 minute.
- Adam can complete (1/8) / 2 = 1/16th of the work in 2 minutes.
Step 4: Calculate the time taken by Adam to complete the remaining work.
- Adam can complete the remaining work (4/6) in (4/6) * (2/1/16) = 10/3 minutes.
Therefore, it will take Adam 10/3 minutes to complete the work.
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Working alone Jerry can complete a work in 6 minutes. Working alone, Adam can complete a work in 8 minutes. Working together, Jerry leaves the work after 2 minutes. How long will it take Adam to complete the work?a)2 minutesb)3 minutesc)10/3 minutesd)5 minutese)10 minutesCorrect answer is option 'C'. Can you explain this answer?
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Working alone Jerry can complete a work in 6 minutes. Working alone, Adam can complete a work in 8 minutes. Working together, Jerry leaves the work after 2 minutes. How long will it take Adam to complete the work?a)2 minutesb)3 minutesc)10/3 minutesd)5 minutese)10 minutesCorrect answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Working alone Jerry can complete a work in 6 minutes. Working alone, Adam can complete a work in 8 minutes. Working together, Jerry leaves the work after 2 minutes. How long will it take Adam to complete the work?a)2 minutesb)3 minutesc)10/3 minutesd)5 minutese)10 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Working alone Jerry can complete a work in 6 minutes. Working alone, Adam can complete a work in 8 minutes. Working together, Jerry leaves the work after 2 minutes. How long will it take Adam to complete the work?a)2 minutesb)3 minutesc)10/3 minutesd)5 minutese)10 minutesCorrect answer is option 'C'. Can you explain this answer?.
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