General Aptitude › Time and Work › Question #4633
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Q If X can complete a task in 20 days and Y can complete it in 12 days, and X starts the work alone and Y joins him after 4 days, how long does the work take to complete?

ID: #4633 Time and Work 171 views
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#4633Q ID
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Time and WorkTopic
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  • A 20 ✔ ✖
  • B 25 ✔ ✖
  • C 10 ✔ ✖
  • D 15 ✔ ✖
Correct Answer

Explanation

The work rate of X is 1/20 of the task per day, and the work rate of Y is 1/12 of the task per day. X works alone for 4 days, completing 1/5 of the task.
The remaining work is 4/5 of the task, and the combined work rate of X and Y is 2/15 of the task per day.
Therefore, it will take X and Y a total of 6 days to complete the remaining work.
The total time taken for the work to be completed is 6 days + 4 days = 10 days

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