Time & Work, Definition, Formula and Examples

Key Concepts for Time & Work: “Time and Work” is a concept often used in mathematical problems and practical scenarios to understand the relationship between the amount of work done, the time taken to do it, and the number of people (or machines) involved. This concept is especially useful in project management, engineering, and various other fields where efficiency and productivity are key.

1. Work: This refers to the total amount of tasks or jobs to be completed. It can be anything from constructing a building to completing a set of data entries.
2. Time: The duration required to complete the work. This can be measured in hours, days, weeks, etc.
3. Rate of Work: This is the amount of work done per unit of time. It can be for an individual or a group of people/machines.
4. Efficiency: The productivity rate of an individual or group. Higher efficiency means more work is done in less time.

Time & Work Formula

Combined Work: If two or more people (or machines) are working together, their combined work rate is the sum of their individual work rates.

Best Time & Work Examples

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https://www.pw.live/exams/wp-content/uploads/2024/06/Time-Work-Examples-1.png

Tricks to Solve Time & Work Questions:

• If different workers or machines have different efficiencies, distribute the work accordingly. For example, if Worker A is twice as efficient as Worker B, A will do twice the work of B in the same time period.

Problem-Solving Strategies

1. Laying Out the Problem:

• Clearly define what one unit of work represents (e.g., one complete task).
• Identify all the rates of work and times given in the problem.

2. Simplify Ratios:

• Convert all rates and times into simple fractions or decimals to make calculations easier.

3. Use LCM for Multiple Workers:

• When dealing with multiple workers with different rates, using the Least Common Multiple (LCM) can simplify finding the total work done.

4. Time Allocation:

• When dealing with alternating work schedules or shifts, calculate the work done in each segment and then sum them up.

Weightage of Time and Work in Banking Exams

The weightage of “Time and Work” questions can vary depending on the specific exam and the overall structure of the test. Here’s a general overview:

Importance and Weightage:

1. Quantitative Aptitude Section:

• Frequency: “Time and Work” questions frequently appear in this section.
• Weightage: Typically, you can expect 2-5 questions out of 35-50 in exams like IBPS PO, SBI PO, RBI Grade B, and clerical exams.

2. Exam-Specific Insights:

• IBPS PO: Often includes 2-3 “Time and Work” questions.
• SBI PO: Similar pattern with 2-3 questions.
• RBI Grade B: Can vary but usually includes a couple of questions.
• Clerical Exams: Slightly fewer questions, around 1-2, but still important.

Time & Work Solved Problems

Previous Year Questions Of Time And Work Asked In Banking Exams 

Q1. A can do a piece of work in 48 days while B alone can do it in 64 days. If they worked together for 8 days, then the fraction of work that is remaining?

Q2.  A can do one-fourth of the work in 5 days. B can do 60% of the same work in 9 days. Then total time taken to complete the work if both of them work together?

Q3. P can do 1/2 of a work in 5 days , Q can do 3/5 of the work in 9 days and R can do x of the work in 8 days . If they do the work together in 4 days then find the value of x ?

Q4. A is 50% as efficient as B. C does half the work done by A and B together. If C alone does the work together in 20 days, then A, B and C together Will Do The Work In?

Q5. 20 Boys can complete a piece of work in 7 days. If 8 more boys are put on the job. In how many days will day complete the work?

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