Question

Manoj did 1/10 part of work in 1 day Kumar did 1/8 part in 1 day and Kiran did 1/20 part in 1 day. How much work did they finish working together? If the remaining part of the work is finished by Arun, what part of work is done by Arum?

Answer 1

Data:

Manoj did 1/10

Kumar did 1/8

Kiran did 1/20

How much work did they finish working together?

Add the fractions as follow:

`\begin{gathered} (a)/(b)\pm(c)/(d)=(ad\pm bc)/(bd) \\ \\ \\ (1)/(10)+(1)/(8)=(8+10)/(80)=(18)/(80)=(9)/(40) \\ \\ (9)/(40)+(1)/(20)=(180+40)/(800)=(220)/(800)=(11)/(40) \end{gathered}`

If the remaining part of the work is finished by Arun, what part of work is done by Arum?

Takes the total work as a unit (1), then subtract 11/40 from 1:

`1-(11)/(40)=(40-11)/(40)=(29)/(40)`

Then, Arum needs to do 29/40 part of the work to finish it,