Question

A can mow a field in $9$ days; B can mow it in $12$ days while C can mow it in $8$ days. They all together mowed the field and received Rs. $1610$ for it. How will the money be shared by them?

Answer 1

Work done in a day = $\frac{1}{9}+\frac{1}{8}+\frac{1}{12}$

$⟹\frac{23}{72}$ out of which A's work is ${\frac{1}{9}}^{th}$ of the day's work. B's work is ${\frac{1}{12}}^{th}$ and C's work is ${\frac{1}{8}}^{th}$. Hence, the division of money should be

$A=\frac{1}{9}\times \frac{72}{23}\times 1610=560$

$B=\frac{1}{12}\times \frac{72}{23}\times 1610=420$

$C=\frac{1}{8}\times \frac{72}{23}\times 1610=630$