Introduction to Time & Work

Time and Work

Work: Work refers to the total amount of task or job assigned to an individual or group to be completed within a certain time frame.
Time: Time is the duration required to complete the assigned work. It is often measured in hours, days, or other units depending on the context.
Efficiency: Efficiency is the rate at which work is done. It is usually expressed as a percentage or a ratio of work done per unit of time.
Work Rate: Work rate is the amount of work done per unit of time. It can be used to compare the productivity of different individuals or machines.
Combined Work: When multiple individuals or machines work together, their combined work rate can be calculated to determine the total time required to complete the task.
Inverse Relationship: There is an inverse relationship between time and work. As the work rate increases, the time required to complete the work decreases, and vice versa.

Question Types

Given below are the basic type of questions which may be asked in the exam :

Important Time and Work Formula

Given below are a few such important time and work formulas for your reference:

Work Done = Time Taken × Rate of Work
Rate of Work = 1 / Time Taken
Time Taken = 1 / Rate of Work
If a piece of work is done in x number of days, then the work done in one day = 1/x
Total Wok Done = Number of Days × Efficiency
Efficiency and Time are inversely proportional to each other
X:y is the ratio of the number of men which are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x
If x number of people can do W1 work, in D1 days, working T1 hours each day and the number of people can do W2 work, in D2 days, working T2 hours each day, then the relation between them will be $\frac{M_1 \times D_1 \times T_1}{W_1} = \frac{M_2 \times D_2 \times T_2}{W_2}$

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