Question
In what time would a Cistern be filled by three pipes
whose diameter are 2cm, 2 2/3cm and 4cm running together, where the largest pipe alone fill it in 183 minutes. The amount of water flowing in by each pipe being proportional to the square of diameter?Solution
ATQ,
Flow rates are proportional to the square of the diameter:
Total combined flow rate:
Cistern capacity (from Pipe 3 alone) = 16 × 183 = 2928
Time to fill with all pipes together:
Therefore, the cistern will be filled in 108 minutes.
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