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SubjectsMathematicsArithmeticChapter 4 — Speed, Distance & Work4.4 Pipes & Cisterns

Topic 4.4 · Mathematics · Speed, Distance & Work

Pipes & Cisterns

Pipes & Cisterns is studied as part of "Speed, Distance & Work" (Arithmetic) in Mathematics. Time-speed-distance, trains, boats and streams, and time-work problems are guaranteed scoring questions.

In the examination context, pipes & cisterns carries conceptual questions that test both factual recall and analytical understanding. Revise this topic in sequence with the rest of the chapter so that chronological and thematic links are clear.

Important Facts

Pipes
Fill rate = 1/time (tank units)
Speed
Distance ÷ time
Relative speed
Sum (opposite) or difference (same) of speeds
Work done
Rate × time

Key Points

  • Speed — Distance ÷ time
  • Relative speed — Sum (opposite) or difference (same) of speeds
  • Work done — Rate × time
  • Pipes — Fill rate = 1/time (tank units)

Important Names

——
Exam-Oriented Notes
  • »Boats: downstream = speed + stream, upstream = speed − stream. In time-work, take total work as LCM of times.

Related topics

4.1 Time, Speed & Distance4.2 Trains & Boats-Streams4.3 Time & Work
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