Time & Work ഇനി കുഴപ്പിക്കില്ല | Simple Arithmetic and Mental Ability | PK Learnings

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Time and work concepts quantify the relationship between the time taken to complete a task, the number of people involved, and their efficiency, usually measured by the formula: Work = Rate
Time (or
). Key principles include inverse proportionality between time and efficiency, where higher efficiency equals less time, and additive work rates for combined effort.
Testbook
Testbook
+2
Key Concepts and Formulas
Fundamental Equation:
.
Rate of Work: If a person finishes a job in
days, their 1-day work is
.
Combined Work: If
takes
days and
takes
days, their combined 1-day work is
. Together, they finish the work in
days.
Efficiency Ratio: If
is twice as efficient as
, the ratio of time taken by
and
to finish the same work is
.
LCM Method: To solve, assume the total work is the Least Common Multiple (LCM) of the individual times, which simplifies fractional calculations.
Man-Days Formula:
, where
is men,
is days,
is hours, and
is work.
Key Takeaways
Inverse Relationship: If work is constant, time is inversely proportional to the number of workers and their efficiency.
Pipes and Cisterns: Similar to time and work, but filling pipes have positive efficiency, and emptying pipes have negative efficiency.
Partial Work: When individuals work for different durations, calculate the work done by each separately and subtract from the total work (usually 1) to find the remainder.