MathematicsThe 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

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


  1. A
  2. B
  3. C
  4. D
     

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    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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