Discussion Forum

Two friends take a piece of work for Rs.960. A alone do it in 12 days. B in 16 days. With the assistance of an expert, they finish it in 4 days. How much remuneration the expert should get ?

Answer:

Explanation:

$A$’s 1 day work $=\frac{1}{12}$ $\Rightarrow $ $A$’s 4 days work $\frac{4}{12}$ $=\frac{1}{3}$

$B$’s 1 day work $=\frac{1}{16}$ $\Rightarrow$ $B$’s 4 days work $=\frac{4}{16}$ $=\frac{1}{4}$

Experts 4 days work  $=1-\left(\frac{1}{3}+\frac{1}{4}\right)$ $=\frac{5}{12}$

Ratio of their work  $=\frac{1}{3}:\frac{1}{4}:\frac{5}{12}$  $=4:3:5$

Expert’s share $=\frac{5}{12}\times 960$  =  Rs.400