Quantitative aptitude · lesson 22 of 30 · free

Pipes and cisterns — Quantitative aptitude for kids

Pipes and cisterns are time-and-work questions with water. Call the tank the LCM of the hours. Each filling pipe adds units every hour, each leak or outlet takes units away, and the net rate tells you the time.

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The method

Tank = LCM units — “call the tank the LCM of the hours; fillers add units each hour, leaks take them away”

  1. Tank = LCM of all the hours.
  2. Each pipe: tank ÷ its hours = units an hour. Fillers +, emptiers −.
  3. Time = tank ÷ net units an hour.
  4. One pipe alone: together rate − the other pipe’s rate.

Use it for: Water tanks, taps and leaks, and pipes-and-cisterns questions in aptitude tests.

Worked example: Pipe A fills a tank in 12 hours and pipe B fills it in 24 hours. How many hours do both pipes take together? → 8

  1. Tank = 24 units. A fills 2 an hour, B fills 1: 3 units an hour together.
  2. 24 ÷ 3 = 8 hours.

Check: In 8 hours A fills 8/12 = 2/3 and B fills 8/24 = 1/3: one full tank ✓

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🖨️ Pipes and Cisterns Worksheet

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