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SubjectsMathematicsArithmeticChapter 4 — Speed, Distance & Work4.3 Time & Work

Topic 4.3 · Mathematics · Speed, Distance & Work

Time & Work

Time & Work 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, time & work 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

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

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-Streams4.4 Pipes & Cisterns
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