Question

Pooja and Ritu can do a piece of work in $17\frac{1}{7}$ days. If one day work of Pooja be three fourth of one day work of Ritu; find in how many days each will do the work alone.

Answer 1

Amount of time to do the work by both$=17\frac{1}{7}=\frac{120}{7}$

Work done in one day by both$=\frac{7}{120}$

Let Pooja do $x$ amount of work in one day

Work done by Ritu$=\frac{4}{3}x$

$\therefore x+\frac{4}{3}x=\frac{7}{120}$

$\therefore \frac{7}{3}x=\frac{7}{120}$

$x=\frac{1}{40}$

$\therefore$Pooja will take $40$ days to complete the work while Ritu will take $30$ days to complete the work alone.