# Moderate Time and Work Solved QuestionAptitude Discussion

 Q. $A$, $B$ and $C$ can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days $A$ and $B$ left. $C$ did the remaining work (in days)
 ✖ A. 1 ✖ B. 3 ✖ C. 5 ✔ D. 4

Solution:
Option(D) is correct

If $A$, $B$ and $C$ work together for a day then they will finish

$\left(\dfrac{1}{5}+\dfrac{1}{10}+\dfrac{1}{15}\right)^{th}$work = $2\times \dfrac{11}{30}=\left(\dfrac{11}{15}\right)^{th}$work

Therefore working together for two days they will finish

$C$ alone does remain $\left(\dfrac{11}{15}-1\right)=\left(\dfrac{4}{15}\right)^{th}$ work

But $C$ finishes $\left(\dfrac{1}{15}\right)^{th}$work in one day

Therefore $C$ will finish $\left(\dfrac{4}{15}\right)^{th}$work in 4 days.