Question

A complete 2/3of certain job in 6 days B can complete 1/3of job in 8 days and c can complete 3/4 of the same job in 12 days .All of them work together for 4 days and then A and C quit . How long will it take for B to complete the remaining work alone

Answer 1

$\red{\textbf{Answer :- 3.33 Days}}$

Step-by-step explanation:

$\red{\textbf{Given :-}}$

$\textsf{A takes 9 days to complete the work}$

$\textsf{B takes 24 days to complete the work}$

$\textsf{C takes 16 days to complete the work}$

$\red{\textbf{To find:-}}$

$\textsf{How long will it take for B to complete }$

$\textsf{the remaining work alone?}$

$\Large\textsf{so,}$

$\textsf{In 4 days, work done by all three would be}$

$\textsf{4 × (1/9 + 1/24 + 1/16)}$

$\textsf{= 4 × = 124/144}$

$\textsf{= 31/36 of the work.}$

$\textsf{Work left for B would be 5/36 of the work.}$

$\textsf{=(5/36) × 24}$

$\textsf{=3.33 days.}$

$\textsf{Thus,3.33 days B will take to work alone}$