Question

A , B and C can do a piece of work in 20,24 and 30 days respectively . they started the work together, but B left after 4 days. in how many days will the remaining work be completed by A and C ?


step by step explanations please

right answer according to the answer sheet is 6 days.​

Answer 1

Given data in question are,

A's 1 days work =$\frac{1}{20}$

B's 1 days work=$\frac{1}{24}$

C's 1 days work=$\frac{1}{30}$

A , B and C's  1 day work is $\frac{1}{20} +\frac{1}{24}+\frac{1}{30}=\frac{6+5+4}{120}=\frac{1}{8}$

B left after 4 days means $\frac{1}{20}$ work is done so, remaining work done by A and B is $\frac{100}{8} =\frac{25}{2}$ days

Therefore, A and B completed remaining work in $\frac{25}{2}$v days.