The work and time problems work on the same principle as finding the solution of equations with more than one variable. If you have two variables in two equations each, then you will be able to solve the equations. Similarly, we can conclude the case of work and time problems. All we need to be able to do is to get the useful information that is mentioned in the world problem. After applying a simple set of formulas to it, we can get to know the answer.
Characteristics of time and work
The topics related to the work, the time that is taken to do the work and the rate at which the work is being done make up the very basis of this concept. This relation between these entities is quite similar to the relationship that is between the speed, distance and the time that is taken to cover that distance. And, the way or method to solve these problems is similar to those problems.
The work and time word problems mainly lead to the formation of equations with two variables. In a single problem, two or more of these equations are formed. And, we find the solution to the equations by using the methods to solve the variables for an equation. In the solution to these equations, we get to know the constant entities that are in the problem. By using the data that we have obtained out of this procedure, we can find the answer to the problem that we are asked.
The work, the time that is taken to complete the work, and the rate at which the work is being done, all of these can be related with the help of the following expression;
Amount of the work done = Time taken to do the work × Rate at which the work is being done.
How important are time and work in real life?
The problems that are related to work and time help us in getting a correct estimation of when the work will be completed. In daily life, if we have an idea of when the work will come to an end, we can make specific arrangements regarding that. Besides, the time that will be taken to do the work will give us a brief idea about the rate at which the work is being done. Any inconsistency in this rate will demonstrate that the work was not organised daily.
Even if two of three entities out of: the amount of work done, time taken to do that work and the rate of the competition of the work are known, we can easily compute the third one with the help of the following expression:
Amount of the work done = Time taken to do the work × Rate at which the work is being done.
Besides that, there are also significant relationships between the factors that make up the very basis of these entities. These quantities help us in getting a grasp of the concept of the work and time from the ground up. We can calculate the time taken for a person to act or the time taken by a group of individuals to do the same thing. That information can be quite useful in our daily life.
Uses of time and work concepts
The concept of work and time is useful in solving the problems that have mentioned work, time and the rate of the completion of work. But, that is not all that this topic is useful for. This topic also gives an account of the efficiency with which a work is being done.
Besides, the work that is being done doesn’t need to be in the hands of a human. The problems that are based on the process of filling a tank, the rate of flow of water, or the time rate of flow of water in a river, these all problems can be solved using this same method.
Conclusion
There are only a finite number of formulas that are of use in the case of work and time problems. All you need is general knowledge of the topic and an understanding of these formulas, and you can solve any problems easily. The most important part of this topic is the formation of equations. In many cases, these equations are of two variables. And hence, to get the result, you need to be able to solve the equations to perfect accuracy.