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SSC CGL Time and Work question with solution

Time and WorkModerateSSC CGL 2024

Divya can complete a piece of work in 18 days and Vikram can complete the same work in 36 days. In how many days will they finish it working together?

  1. (A)12 days
  2. (B)14 days
  3. (C)27 days
  4. (D)18 days

Correct answer: (A) 12 days

Divya's one-day work = 1/18 and Vikram's one-day work = 1/36. Together they do 1/18 + 1/36 = 54/648 = 1/12 of the work per day, so the work is finished in 12 days.

Shortcut: Days together = (a × b)/(a + b) = 648/54 = 12.

About this question

Subject
Quantitative Aptitude
Topic
Time and Work
Exam
SSC CGL 2024
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Appears in: SSC CGL 2024 Tier 1 Question Paper — 9 September, Shift 2

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