Question

A can do a piece of work in 18 days and B in 12 days. They begin together, but A goes away 2 days before the work is completed. The time in which the work was finished is



a. 8 1/3 days

b. 5 2/3 days

c. 8 days

d. 6 2/5 days

Answer 1

$\huge\underline\bold\color{red}\mathfrak{Answer:-}$

Step-by-step explanation:

${\fcolorbox{red}{blue}{A's \:one \: day\: work:-1/18}}$

${\fcolorbox{blue}{red}{B's\:one\:day\:work:-1/12}}$

Both of them work together for 2 days so,

$\frac{1}{18}+\frac{1}{12}×2$

$\frac{2+3}{36}×2=\frac{5}{\cancel{36}}×{\cancel{2}}=\frac{5}{18}$

$\bold\orange{Remaining\:work:-}1-\frac{5}{18}=\frac{18}{18}-\frac{5}{18}=\frac{13}{18}$

B's work =12 days.

Remaining work×B's work = $\frac{13}{\cancel{18}}×{\cancel{12}}=\frac{26}{3}$

Option A is right