General Aptitude › Time and Work › Question #4628
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QIf A can complete a task in 4 hours, B and C can complete it in 3 hours, and A and C can complete it in 2 hours, how long will it take B alone to complete the task?

ID: #4628 Time and Work 207 views
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#4628Q ID
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Time and WorkTopic
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  • A 10 hrs ✔ ✖
  • B 12 hrs ✔ ✖
  • C 15 hrs ✔ ✖
  • D 9 hrs ✔ ✖
Correct Answer

Explanation

If the work rate of A is 1/4 of the task per hour, the work rate of B and C together is 1/3 of the task per hour,
and the work rate of A and C together is 1/2 of the task per hour,
then the work rate of B alone is (1/3 - 1/4) of the task per hour.
Therefore, B will take 12 hours to complete the task on their own.

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