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The faucet fills the tank in p hours and the faucet at the bottom of the tank drains it in q hours. If p is less than q and both cocks are open, the tank will be filled in r hours. Then find out which of the following instructions is correct

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answer is B.

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Detailed Solution

Concept- First, calculate the net tank filled in 1 hour and the empty tank in 1 hour. Therefore, after 1 hour, there is net water in the tank. Also, the tank is filled in r hours, so in 1 hour this net water in the tank is equal to

If the water fills the tank with

hours, the part will be filled with

for 1 hour. If you drain the tank in

hours, some will be drained in

for 1 hour. If both taps are open, the net part will be filled in 1 hour

Hence, option 2 is correct.

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