Question

A can do 1/4 th of a piece of work in one day, whereas B can do 1/6 th of the work in a day . In how many days can they do the same work , working together?

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{A}\text{'}\mathrm{s}\mathrm{one}\mathrm{day}\mathrm{work}=\frac{1}{4} \\ \mathrm{B}\text{'}\mathrm{s}\mathrm{one}\mathrm{day}\mathrm{work}=\frac{1}{6} \\ \mathrm{A}\text{'}\mathrm{s}\mathrm{and}\mathrm{B}\text{'}\mathrm{s}\mathrm{together}\mathrm{one}\mathrm{day}\mathrm{work}=\frac{1}{4}+\frac{1}{6} \\ =\frac{3+2}{12} \\ =\frac{5}{12} \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{days}\mathrm{taken}\mathrm{by}\mathrm{A}\mathrm{and}\mathrm{B}\mathrm{working}\mathrm{together}=\frac{1}{{\displaystyle \frac{5}{12}}} \\ =\frac{12}{5}\mathrm{days} \\ =2\frac{2}{5}\mathrm{days}\mathrm{ANS}... \end{gathered}$$

Regards