Time and Work Formulas

1. Work Formula

$\mathrm{Work}=\mathrm{Time}\times \mathrm{Rate\; of\; Work}$

Work is the product of the time taken and the rate at which the work is done.

2. Rate of Work Formula

$\mathrm{Rate\; of\; Work}=\frac{\mathrm{Work}}{\mathrm{Time}}$

The rate of work is calculated as work divided by time taken.

3. Time Formula

$\mathrm{Time}=\frac{\mathrm{Work}}{\mathrm{Rate\; of\; Work}}$

Time is calculated as work divided by the rate of work.

4. Work Done by Two or More People

$\mathrm{Total\; Work}=\frac{\mathrm{Combined\; Work\; Rate}}{1}$

When two or more people work together, their combined work rate determines the total time required.

5. Efficiency and Work

$\mathrm{Work}=\mathrm{Efficiency}\times \mathrm{Time}$

Work is directly proportional to the efficiency of the worker and the time taken.

6. Inverse Relationship of Time and Workers

$\mathrm{Time}\propto \frac{1}{\mathrm{Number\; of\; Workers}}$

The time taken to complete a task is inversely proportional to the number of workers, assuming all workers have the same efficiency.

7. Work Sharing Formula

$\mathrm{Total\; Work}=\mathrm{Sum\; of\; Individual\; Works}$

The total work is equal to the sum of the individual works done by each person or machine.

8. Work Done on Alternate Days

$\mathrm{Total\; Work}=\mathrm{Work\; Done\; in\; One\; Cycle}\times \mathrm{Number\; of\; Cycles}+\mathrm{Remaining\; Work}$

For work done on alternate days, calculate the work done in one complete cycle and multiply it by the number of cycles, adding any remaining work.

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