Time & Work: Complete Notes, Formulas, Examples, and Practice Questions
Time & Work: Complete Notes, Formulas, Examples, and Practice Questions 1. Work Efficiency: Core Concepts & Formulas A. Basic Formulas Work Done = Time Taken × Rate of Work Rate of Work = 1 / Time Taken Time Taken = 1 / Rate of Work (If A can do a job in n days, A’s 1 day work = 1/n) 2 5 6 7 B. Combined Work If A can do a job in a days, B in b days, working together: Time taken together = (ab)/(a + b) days Combined 1-day work = (1/a) + (1/b) = (a + b)/ab 2 3 4 C. Efficiency Efficiency is inversely proportional to time taken: If A is twice as efficient as B, A will take half the time of B. If efficiency ratio is X:Y, time ratio is Y:X 2 4 D. Unit Approach Take total work as LCM of given days for easy calculation. Work done per day = Total work / total days 3 4 E. Fractional Work If A does m/n of work in D days, total time = (n/m) × D days 2 F. Alternate Days For workers alternating days, calculate work done in one cycle, then divide total work by work per cycle 2 . 2. Pipe...