Before solving Time and Work questions, remember these simple relationships:
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Work, Men, Days, and Time Relationship:
Work ∝ (Men × Days)
→ M₁ × D₁ × T₁ / W₁ = M₂ × D₂ × T₂ / W₂ -
Work Efficiency Concept:
Efficiency = 1 / Time taken
(More efficiency → Less time required) -
Work Done Formula:
Work Done = Efficiency × Time -
Combined Work Formula:
If A can do a work in x days and B in y days,
Then together, A & B = (1/x + 1/y) work per day -
Time Taken When Working Together:
Time = 1 ÷ (1/x + 1/y) -
Inverse Proportion Rule:
When work is constant,
Men × Days = Constant -
Pipes & Cistern (Filling or Emptying):
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If one fills in x min and other empties in y min,
Work done in 1 min = (1/x − 1/y)
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Quick Tip for Students
Always:
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Convert all units to the same type (hours, minutes, or days).
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Use LCM of time values to find total work easily.
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Remember: More men → less time; less men → more time.
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