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Question

Pipe A fills a tank of $$700$$ litres capacity at the rate of $$40$$ litres a minute. Another pipe B fills the same tank at the rate of $$30$$ litres a minute. A pipe at the bottom of the tank drains the tank at the rate of $$20$$ litres a minute. If pipe A is kept open for a minute and then closed and pipe B is kept open for a minute and then closed and then pipe C is kept open for a minute and then closed and the cycle repeated, how long will it take for the empty tank to overflow?


A
42 minutes
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B
30 minutes
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C
12 minutes
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D
4 minutes
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Solution

The correct option is A $$42$$ minutes

In 3 Minutes Volume Supplied 
$$\Rightarrow 40L+30L-20L=50L$$

So, In 1 Minute Volume Supplied will be 
$$\Rightarrow \dfrac{50L}{3}$$

Time Taken to Fill The tank Completely

$$\Rightarrow \dfrac{700L}{\dfrac{50L}{3}}=42mins$$

Therefore Answer is $$42mins$$

Mathematics

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