Time & Work / Pipes & Cisterns

JKSSB Panchayat Account Assistant · Mathematics · 35 practice questions with answers and explanations: 12 Easy, 11 Medium, 12 Hard.

Sample questions

Sample Easy question 1

A and B can do a work together in 15 days. A alone can do it in 25 days. Find B's time alone.

  1. 35
  2. 36
  3. 37.5
  4. 40
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Answer: C. B's rate = 1/15 - 1/25 = 2/75, so B alone takes 37.5 days.

Sample Medium question 2

Pipe A fills a tank in 6 hours, pipe B empties it in 12 hours. If both are opened together, how long will it take to fill the tank?

  1. 10 hrs
  2. 11 hrs
  3. 12 hrs
  4. 14 hrs
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Answer: C. Net rate = 1/6 - 1/12 = 1/12, so the tank fills in 12 hours.

Sample Hard question 3

Two pipes fill a cistern in 10 and 12 hours; a third pipe empties it in 20 hours. If all three are opened together, in how many hours will the cistern be full?

  1. 6.5
  2. 7
  3. 7.5
  4. 8
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Answer: C. Combined rate = 1/10 + 1/12 - 1/20 = 2/15, so the cistern fills in 7.5 hours.

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