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SSC CGL Time and Work question with solution

Time and WorkModerateSSC CGL 2023

Pooja can complete a piece of work in 9 days and Rahul can complete the same work in 18 days. In how many days will they finish it working together?

  1. (A)13.5 days
  2. (B)9 days
  3. (C)6 days
  4. (D)5 days

Correct answer: (C) 6 days

Pooja's one-day work = 1/9 and Rahul's one-day work = 1/18. Together they do 1/9 + 1/18 = 27/162 = 1/6 of the work per day, so the work is finished in 6 days.

Shortcut: Days together = (a × b)/(a + b) = 162/27 = 6.

About this question

Subject
Quantitative Aptitude
Topic
Time and Work
Exam
SSC CGL 2023
Attempts on SSC Rank
1 (100% answered correctly)

Appears in: SSC CGL 2023 Tier 1 Question Paper — 14 July, Shift 2

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Last reviewed on 5 Oct 2026. Spotted a mistake? See our correction policy.