Two pipes A and B can fill a tank in 16 hours and 20 hours respectively. They are opened alternatively for 1 hour each. Starting with pipe A first. In how many hours with the empty tank be filled?

1
\(17\frac{1}{5}\)
2
\(17\frac{3}{4}\)
3
\(17\frac{3}{5}\)
4
\(17\frac{1}{{14}}\)

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