How to solve ths sum,at what time would a cistern be filled by 3 pipes whose diametere are 1cm,4.5cm,3cm running together diametere with 3cm pipe fill alone in 11 min. The amount of water flowing inby each pipe being proposional to tyhe square of its diameter?
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In one minute the pipe of 2cm diameter fills 1/61 of the cistern.
In one minute the pipe of 1cm diameter fills 1/61* 1/4 of the cistern
In one minute the pipe of 11/3 cm diameter fills 1/61* 4/9 of the cistern
In one minute (1/61+1/(61*4)+4/(61*9))=1/36 of the cistern is filled.
The whole cistern is filled in 36 minutes.
In one minute the pipe of 1cm diameter fills 1/61* 1/4 of the cistern
In one minute the pipe of 11/3 cm diameter fills 1/61* 4/9 of the cistern
In one minute (1/61+1/(61*4)+4/(61*9))=1/36 of the cistern is filled.
The whole cistern is filled in 36 minutes.
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