Two tubes P and Q can fill a reservoir in 18 minutes and 22.5 minutes respectively. If both the tubes are opened together, then after how much time Q should be closed so that the reservoir is full in 13.5 minutes?

$\frac{45}{8}$ min

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Solution

The correct option is A
$\frac{45}{8}$ min

$\begin{matrix} ∴ (\frac{1}{18} + \frac{2}{45}) x + (13.5 - x) \times \frac{1}{18} = 1 x = \frac{45}{8} S o, Q m u s t b e c l o s e d a f t e r \frac{45}{8} m i n u t e s . \end{matrix}$

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Two tubes P and Q can fill a reservoir in 18 minutes and 22.5 minutes respectively. If both the tubes are opened together, then after how much time Q should be closed so that the reservoir is full in 13.5 minutes?

The correct option is A 458 min ∴(118+245)x+(13.5−x)×118=1x=458So, Q must be closed after 458 minutes.

The correct option is A
$\frac{45}{8}$ min

$\begin{matrix} ∴ (\frac{1}{18} + \frac{2}{45}) x + (13.5 - x) \times \frac{1}{18} = 1 x = \frac{45}{8} S o, Q m u s t b e c l o s e d a f t e r \frac{45}{8} m i n u t e s . \end{matrix}$