General Aptitude › Time and Work › Question #4618
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QA can complete a task in 25 days, and B can complete the same task in 20 days. Together, they work for 5 days, and then A stops working. How long will it take B to finish the remaining work?

ID: #4618 Time and Work 177 views
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#4618Q ID
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Time and WorkTopic
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  • A 12 ✔ ✖
  • B 13 ✔ ✖
  • C 11 ✔ ✖
  • D 10 ✔ ✖
Correct Answer

Explanation

If A can complete a task in 25 days,
and B can complete the same task in 20 days, then their combined daily rate of progress is 1/25 + 1/20 of the task per day.
Therefore, their 5 days of work together represents 5 * (1/25 + 1/20) = 9/20 of the task.
This means that the remaining work to be done is 1 - 9/20 = 11/20 of the task.
If B can complete 1/20 of the task in one day, then it will take him 11 days to complete the remaining 11/20 of the task

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