Question

A and b under take a piece of work for rs. 600. if a can do it in 6 days and b can do it in 8 days. with the help of c they finish the work in 3 days, find the share of each

Answer 1

one day work of A is 1/6 and that of B is 1/8
let the work be completed by C in C days .
$\frac{1}{6} + \frac{1}{8} + \frac{1}{c} = \frac{1}{3} \\ c = 24$
let the total work be 24 units(lcm of 6,8&24)
one day work of A is 4 units, that of B is 3 units and for C is 1 units
so in one day total work done is 4+3+1 = 8 units
so C share is
$\frac{1}{8} \times 600 \\ 75 \: rs$