Two pipes P and Q can fill a cistern in 12 and 15 min, respective

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 Multiple Choice QuestionsMultiple Choice Questions

11.

Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe. A is closed, how much time B will take to fill the remaining tank?

  • 7 1 half space hours
  • 2 2 over 5 space hours
  • 2 1 third space hours
  • 2 1 third space hours
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12.

A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and both tap and sink are open, the tank is filled in 'r' hours; then

  • 1 over straight r space space equals space 1 over straight p space plus space 1 over straight q
  • 1 over straight r space equals space 1 over straight p minus 1 over straight q
  • r = p  +q

  • r = p  +q

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13.

Two pipes P and Q can fill a cistern in 12 and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill?

  • 8 1 fourth min

  • 8 3 over 4 min

  • 5 min

  • 8 1 half space min


A.

8 1 fourth min

Part filled by both pipes P and Q in 1 min
       equals space 1 over 12 space plus space 1 over 15 space equals space fraction numerator 5 space plus space 4 over denominator 60 end fraction space equals space 9 over 60
∴    Part filled by P and Q in 3 min
        equals space 3 space cross times space 9 over 60 space equals space 27 over 60 space equals space 9 over 20
∴    Remaining part = 1 minus 9 over 20 space equals space 11 over 20
As Q takes 15 min to fill the whole cistern
∴   Remaining part (11/20) will be filled by Q in 
         equals space 11 over 20 space cross times space 15 space equals space 33 over 4 space equals space 8 1 fourth space min





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14.

A tap can empty a tank in 30 min. A second tap can empty it in 45 min. If both the taps operate simultaneously, how much time is needed to empty the tank?

  • 30 min

  • 14 min

  • 15 min

  • 18 min


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15.

A pipe can fill a tank in x h and another can empty it in y h. They can together fill it in (y > x)

  • x - y

  • fraction numerator xy over denominator straight y minus straight x end fraction

  • y - x

  • fraction numerator xy over denominator straight y minus straight x end fraction


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