Time and Work

Time and Work

 

Time: Time is the duration during which any activity or work happens or continues.

Work: Work is a task or set of activities to achieve a certain result.

We can define happening of work as:

• If a person A completes a work in X days, then the amount of work completed by him in 1 day will be =${1 \over X}$ 
• Similarly, if a person B completes work in Y days, then the amount of work completed by him in 1 day will be =${1 \over Y}$
• From the above two points, we can say that in one day A and B together can complete ${({1 \over X}+{1 \over Y})}$ amount of work. Thus, together A and B can complete the work in $\frac{XY} {X+Y}$ days.

Here, we have assumed total work as 1 unit. Similarly, we can assume our total work as anything as per our convenience. The best assumption for easing out our calculations of the total work is assuming work as 100% or LCM of time taken by all the persons.

Points to Remember:

1. Every work requires a particular amount of time.
2. Work done is directly proportional to the time taken. And, the proportionality sign is removed by efficiency/one-day work/work rate.

Work done = Efficiency × Time taken

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