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SSC CGL Time and Work question with solution

Time and WorkModerate

Anita can complete a piece of work in 15 days and Amit can complete the same work in 60 days. In how many days will they finish it working together?

  1. (A)45 days
  2. (B)14 days
  3. (C)11 days
  4. (D)12 days

Correct answer: (D) 12 days

Anita's one-day work = 1/15 and Amit's one-day work = 1/60. Together they do 1/15 + 1/60 = 75/900 = 1/12 of the work per day, so the work is finished in 12 days.

Shortcut: Days together = (a × b)/(a + b) = 900/75 = 12.

About this question

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