**Learn Time and Work for Maths Section of AILET**

Learn Time and Work for Maths Section of AILET

â€˜Time and workâ€™ is used to calculate how much time will be taken to finish a work and how much work can be finished in a given time The concept of time and work is although widely used in our daily lives, it could often be considered as a part that is a little difficult and confusing to solve. But remember, there are certain tricks and formulas that can make it easy to solve questions from this concept quite quickly and correctly. The following points given if kept in mind all the time, you will never ever lose a mark from this part.

If a man completes a work in T days or unit time, the work done in 1 day or in one unit time is 1/T.

If the work done in 1 day is given, then the total no. of days taken to finish the entire work is 1/work done in one day.

If a person does 1/w work in one unit of time, then the unit of time required to complete the entire work is w days.

If A completes a work in x days, then the work done in one day is (1/x) of the total work. If B finishes 1/y of the total work in 1 day, then the work will be completed in y days. Therefore, if working together, both can finish 1/z (1/x + 1/y = 1/z) work in one day and complete the task in â€˜zâ€™ days.

If a person A does a work in â€˜aâ€™ days and person B can finish the work inâ€™bâ€™ days, they can finish the work together in ab/ (a+b) days.

I f a person A does a work in â€˜aâ€™ days , B can finish the work inâ€™bâ€™ days and Person C can finish it in â€˜câ€™ days they can finish the work together in abc/ (a+b+c) days.

The work done is proportional to time if the number of persons doing it, is constant.

The time is inversely proportional to the number of men if the amount of work if fixed.

Sometimes there are specific questions involving cistern and water tank. Always remember that there are two pipes connected to a water tank. One pipe which fills up the water is called inlet and one which throws the water out is called the outlet.

If a pipe fills the water tank in X hours, then in one hours it will fill 1/X of the tank. Therefore the work done in pipe in one hour is 1/x.

If an outlet empties a tank in Y hours, then it will empty 1/Y tank in one hour and therefore the work done by the outlet in one hour is (-1/Y) i.e. negative work.

Read the theory on Simple and Compound Interest here.

Read our other posts on Quantitative Techniques Question Pattern and Test Papers.

**First published on April 7, 2021.Â **