An empty pool can be filled by pipe Q in 4 hours and the pipe R in 6 hours. If both the pipes are opened for 1 hour each alternative with first opening pipe Q, then what will be the time taken by pool to fill in?

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

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