A tap fills a tank completely with water in $5$ hours. The tap on the bottom of tank being kept open, it takes $6$ hours to fill the tank with water. In how many hours does the tap at the bottom completely drain out water from the tank?

11

hours

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30

hours

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22

hours

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15

hours

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Solution

The correct option is A $11$ hours
Let the rate of which water is filled $= x$ lit/hr
$∴$ Volume of tank $= 5 x$ litre
Let the rate at which water is drained $= y$ lit/hr
A/Q, $6 (x - y) = 5 x$
$\Rightarrow 6 x - 6 y = 5 x$
$\Rightarrow 6 y = x$
$\Rightarrow y = x / 6$
Time to taken water completely $= \frac{5 x}{y} = \frac{5 x}{x / 6} = 30$ hrs [B]

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A tap fills a tank completely with water in 5 hours. The tap on the bottom of tank being kept open, it takes 6 hours to fill the tank with water. In how many hours does the tap at the bottom completely drain out water from the tank?

The correct option is A 11 hoursLet the rate of which water is filled =x lit/hr∴ Volume of tank =5x litreLet the rate at which water is drained =y lit/hrA/Q, 6(x−y)=5x⇒6x−6y=5x⇒6y=x⇒y=x/6Time to taken water completely =5xy=5xx/6=30 hrs [B]

A tap fills a tank completely with water in $5$ hours. The tap on the bottom of tank being kept open, it takes $6$ hours to fill the tank with water. In how many hours does the tap at the bottom completely drain out water from the tank?