A) 100 hours
B) 111 hours
C) 112 hours
D) 114 hours
Correct Answer: C
Solution :
(c): Let leakage take 'x' hrs to empty. Let 't' be time, had there been no leakage. \[\therefore \frac{1}{t}=\frac{1}{14}+\frac{1}{16}\Rightarrow t=\frac{224}{30}\] Also. \[\left( t+\frac{32}{60} \right)hrs=\frac{1}{\frac{1}{14}+\frac{1}{16}-\frac{1}{x}}\] \[\Rightarrow \frac{224}{30}+\frac{8}{15}=\frac{1}{\frac{1}{14}+\frac{1}{16}-\frac{1}{x}}\] \[\Rightarrow 8=\frac{1}{\frac{1}{14}+\frac{1}{16}-\frac{1}{x}}\Rightarrow \frac{1}{x}=\frac{1}{14}+\frac{1}{16}-\frac{1}{8}=\frac{1}{14}-\frac{1}{16}\] \[\Rightarrow \frac{1}{x}=\frac{2}{14\times 16}\Rightarrow x=112\]hrsYou need to login to perform this action.
You will be redirected in
3 sec