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How do we define time? A time span is the amount of time in which any activity is carried out or continues to be carried out. How do we define work? The definition of work is a set of activities designed to achieve a certain goal.
An individual or group’s efficiency and the duration of time needed to complete a task are considered simultaneously in time and work problems. To work means to dedicate effort towards completing a task or delivering a deliverable.
A certain amount of time is required for the completion of a certain task. The rate of work is defined as the amount of work completed per unit time. So, Work = Rate x Time.
Important time and work formulas
Any work that is happening can be described by the list of some important formulas used in time and work:
In an X-day work cycle, if person A completes the work, 1/X is the amount of work they completed in 1 day.
In the same way, if person B completes work in Y days, then 1/Y is the number of days they completed in one day.
From the above two points, it was established that A and B together could accomplish (1/X + 1/Y) of the work in one day. The work can be completed in X + Y/XY days by A and B working together.
The total work done comes from the total time multiplied by the rate of work spent.
Work is calculated as 1/time taken.
Calculate the time taken by taking 1/rate of work.
Throughout efficiency/one-day and work/work rate, the proportionality sign is removed from work cloning and, therefore, is removed from the work rate.
Total Work Done = Number of Days × Efficiency
Efficiency is inversely proportional to time.
It is the ratio of the number of people who can complete a specific task in W1 to the number of people who can complete the task in W2. When “X” and “Y” work for T1 hours per day in D1 days, while T2 hours per day in D2 days.
M1 ∗ D1 ∗ H1 ÷ W1 = M2 ∗ D2 ∗ H2 ÷ W2
We can also consider the following table for a better understanding of the concepts and for easy calculation:
Number of days required to complete work | Work/Day | Efficiency (%) |
N | 1/N | 100/N |
1 | 1 | 100 |
2 | 1/2 | 50 |
3 | 1/3 | 33.33 |
4 | 1/4 | 25 |
5 | 1/5 | 20 |
6 | 1/6 | 16.66 |
7 | 1/7 | 14.28 |
8 | 1/8 | 12.5 |
9 | 1/9 | 11.11 |
10 | 1/10 | 10 |
11 | 1/11 | 9.09 |
12 | 1/12 | 8.25 |
13 | 1/13 | 7.69 |
14 | 1/14 | 7.14 |
15 | 1/15 | 6.66 |
Characteristics of time and work
When the amount of work is constant, efficiency is inversely related to the time taken.
Statements such as ‘A is three times as good as B,’ mean that A does three times the work as B in the same amount of time. To put it another way, A will take one-third the time that B will take to do the identical task.
The proportion of work done by A and B = 3:1
The proportion of time taken by A and B to complete the work = 1:3
A person’s efficiency can be measured by the amount of time it takes an individual to complete a task and how long it takes a group of people to complete a task over the course of a period of time. Individual work can also be measured by the amount of work completed by a group of people over the course of time.
Conclusion
The concepts of time and work are used to calculate the amount of time it takes to accomplish a task and our ability to determine the amount of work we have accomplished. We learned how to determine a person’s efficiency, how long it takes an individual to complete a task, and how long it takes a team to accomplish a task. The level of efficiency is determined by the amount of work completed by individuals over time and the amount of work completed by a team over a specific period. It is possible to know how many tasks a person can complete in a set period of time by looking at their ability to complete them.
