Question

Taps U and V can fill a vessel in 24 minutes and 30 minutes respectively. If both are opened simultaneously and U is closed after 6 minutes, then how long would it take for V to fill the vessel?

• A. 15 min 20 sec
• B. 14 min 30 sec
• C. 17 min 20 sec
• D. 16 min 30 sec
• E. None of these

Answer 1

The correct option is D

16 min 30 sec

$\begin{array}{c}For6minutes\left(1^{st}part\right)=6\left(\frac{1}{24}+\frac{1}{30}\right)=\frac{9}{20}\end{array}$
$Remainingpart=1-\frac{9}{20}=\frac{11}{20}$
$\begin{array}{c}TimetakenbytapVtofillthebucket=\frac{11}{20}\times 30=\frac{33}{2}=16\frac{1}{2}min=16min30seconds\end{array}$