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?

Respuesta :

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:

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

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:

[tex]1-\frac{11}{40}=\frac{40-11}{40}=\frac{29}{40}[/tex]

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