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PREPINSTA PRIME

# Time and Work Questions and Answers

**Time and Work Questions **

Time and Work Question and Answers are provided on this page for students to practice and get an idea about how this topic is asked in placement exams.

Time Definition
Time, in the context of work, is the measure of duration and progression that governs the sequence of events and tasks.

Work Definition
Work, in the context of work and time, refers to the physical or mental effort exerted to accomplish a task or achieve a goal within a specific timeframe.

*The fundamental questions that could be asked in the exam regarding the issue of Time and Work are listed below:*

- Familiarize yourself with the fundamental concepts of time and work, such as how to calculate work done and time taken.
- Understand the basic Formula, Work = Rate x Time.
- Reciprocal Work Rate: Learn how to deal with situations where a person’s work rate is given in terms of the time taken to complete the work (e.g., “Raj can do a job in 10 days,” which means Raj’s work rate is 1/10 of the job per day).
- Practice problems involving multiple individuals working together or at different rates to complete a task.
- Fractional Work: Learn how to handle cases where a fraction of work is completed (e.g., “A completes half the work”).
- Work Efficiency: Understand the concept of efficiency and how it relates to work rates.-

**Rules on Time and Work**

- Let’s consider M1 number of individuals are able to complete W1 amount of work within D1 days whereas M2 number of individuals are able to complete W2 amount of work in D2 days, then the formula used will be:

M1\times \frac{D1}{W1} = M2 \times \frac{D2}{W2} - If the individuals are having productivity of E1 and E2 individually, then the formula used to calculate the same will be:

M1\times D1\times T1\times \frac{E1}{W1} =M2\times D2\times T2\times \frac{E2}{W2} - If person A is able to do a part of work in ‘n’ number of days, then the work done by A in a single day is equals to

\frac{1}{n} - If person X might complete an amount of work in D1 number of days as well as person Y is able to complete the similar amount of work in D2 number of days then person X and person Y together can do the similar type of work in:

\frac{D1\times D2}{D1\ + D2} - Considering that person X is twice efficient worker as person Y, then person X would be taking half of the time occupied by person Y to do a similar amount of work.
- If person X along with person Y can together complete a part of work in D1 number of days as well as person X unaccompanied is able to complete it in D2 number of days, then person Y can alone complete the work in:

\frac{D1\times D2 }{D2 – D1}

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