Time & Work / Pipes & Cisterns

JKSSB Class-IV & MTS · Mathematics · 35 practice questions with answers and explanations: 12 Easy, 11 Medium, 12 Hard.

Sample questions

Sample Easy question 1

If 8 workers can complete a wall in 12 days, how many days will 12 workers take?

  1. 6 days
  2. 7 days
  3. 8 days
  4. 9 days
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Answer: C. Total man-days = 8×12 = 96. For 12 workers: 96/12 = 8 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

A is 50% more efficient than B. If B alone completes a job in 18 days, in how many days will A alone complete it?

  1. 10 days
  2. 11 days
  3. 12 days
  4. 13 days
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Answer: C. A's efficiency = 1.5 × B's efficiency. Time is inversely proportional to efficiency: A's time = 18/1.5 = 12 days.

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