Two inlet pipes can fill a tank in 5 and 7 hours respectively. And one outlet pipe can empty this full tank in 14 hours. If all the three pipes are opened simultaneously in a completely empty tank, then in how much time will it take to fill the tank completely?

1
\(4\frac{11}{13}\) hours
2
\(5\frac{11}{13}\) hours
3
\(3\frac{13}{19}\) hours
4
\(5\frac{2}{13}\) hours

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