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SSC CHSL Time and Work question with solution

Time and WorkModerate

Pooja can complete a piece of work in 6 days and Karan can complete the same work in 12 days. In how many days will they finish it working together?

  1. (A)4 days
  2. (B)9 days
  3. (C)3 days
  4. (D)6 days

Correct answer: (A) 4 days

Pooja's one-day work = 1/6 and Karan's one-day work = 1/12. Together they do 1/6 + 1/12 = 18/72 = 1/4 of the work per day, so the work is finished in 4 days.

Shortcut: Days together = (a × b)/(a + b) = 72/18 = 4.

About this question

Subject
Quantitative Aptitude
Topic
Time and Work
Exam
SSC CHSL
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Last reviewed on 5 Oct 2026. Spotted a mistake? See our correction policy.