in what time would a cistern be filled by three pipes whose diameters are
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Rate of 3 pipes working together:
1N1N, N=x+4x+16x9=61x9N=x+4x+16x9=61x9
1N=961x1N=961x
Rate of the biggest pipe = 14x14x
14x−−−>61(min)14x−−−>61(min)
961x−−−−>y(min)961x−−−−>y(min)
y4x=9∗6161xy4x=9∗6161x
y4x=9xy4x=9x
y∗x=36∗xy∗x=36∗x
y=36min
1N1N, N=x+4x+16x9=61x9N=x+4x+16x9=61x9
1N=961x1N=961x
Rate of the biggest pipe = 14x14x
14x−−−>61(min)14x−−−>61(min)
961x−−−−>y(min)961x−−−−>y(min)
y4x=9∗6161xy4x=9∗6161x
y4x=9xy4x=9x
y∗x=36∗xy∗x=36∗x
y=36min
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