pipe a filled a tank in 6 hour.pipe b empty a tank in 8 hours.both pipe start there work.after some time stop the pipe b.so finally tank filled in 13 hour.find the hour of b they open for how many hour.
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Part of the tank filled by pipe A and B in 2 hours
= 2\left ( \frac{1}{6}+\frac{1}{8} \right )
= 2\left ( \frac{4+3}{24} \right ) = \frac{7}{12}
Remaining part = 1-\frac{7}{12} = \frac{5}{12}
This part is filled by pipe B.
∴ Required Time = \frac{5}{12}\times 8 = \frac{10}{3} = 3\frac{1}{3}\ hours
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