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Time and Work Tips and Tricks for Government Exams

Introduction


Technically Work is the quantity of energy transferred from one system to another but for question based on this topic, Work is defined as the amount of job assigned or the amount of job actually done.
Time and Work Tips and Tricks for Government Exams

Formula

  • If a Person do a piece of work or job in n days, then person’s finish the work in n days.
  • If a Person do a piece of work or job in n days, then work in 1 days = 1 / n.
  • If a Person work in 1 days = 1 / n, then person can completed the work in n day’s.
  • If a person A done twice work of another person B, then the ratio of work done by A and B is = 2 : 1.

Note: When more people working on a similar type of work, then there group work = Sum of each person 1 day’s work.
Suppose P, Q, R work same piece of work by each person ( P + Q + R )”s 1 day’s work = P’s 1 day’s work + Q’s 1 day’s work + R’s 1 day’s work.

Solved Examples

Question for Tips & Tricks: Time & Work
Try yourself:

A and B alone can do a piece of wok in 8 and 18 days respectively. In how many days the work will be completed if they both work on alternate days starting with B?

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Question for Tips & Tricks: Time & Work
Try yourself:

A, B and C can all together do piece of work in 10 days, in which B takes three times as long as A and C together do the work and C takes twice as long as A and B together take to do the work. In how many days B can alone do the work?

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Question for Tips & Tricks: Time & Work
Try yourself:

20 men can complete a piece of work in 14 days. 7 men started the work and after 20 days, 7 more men joined the work. In how many days the remaining work will be completed?

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FAQs on Time and Work Tips and Tricks for Government Exams

1. What is the concept of time and work in mathematics?
Ans. Time and work is a mathematical concept that deals with the relationship between the time taken to complete a task and the rate at which the task is being done. It involves calculating the amount of work done by a person or a group of people in a given time period.
2. How can I find the time taken to complete a task when the rate of work is given?
Ans. To find the time taken to complete a task when the rate of work is given, you can use the formula: Time = Work / Rate. Simply divide the total work to be done by the rate at which the work is being done, and you will get the time taken to complete the task.
3. What is the formula to calculate the rate of work?
Ans. The formula to calculate the rate of work is: Rate = Work / Time. To find the rate at which work is being done, divide the total work by the time taken to complete the task.
4. How can I calculate the total work done when the time and rate of work are given?
Ans. To calculate the total work done when the time and rate of work are given, you can use the formula: Work = Rate x Time. Multiply the rate at which work is being done by the time taken to complete the task, and you will get the total work done.
5. Can you provide an example of solving a time and work problem?
Ans. Sure! Let's say it takes 6 hours for 3 workers to complete a task. If we want to find the rate at which work is being done, we can use the formula: Rate = Work / Time. Since the time taken is 6 hours and the work is not mentioned, we assume it to be 1 unit of work. Therefore, the rate of work is 1/6 units per hour.
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