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P does some work in 4 hours. The same is done by P and Q together in 3 hours, Q and R together in 2 hours. Working together, how many hours will they take to do the same work?
$$\frac{6}{7}$$ hours
$$\frac{3}{2}$$ hours
$$\frac{4}{3}$$ hours
$$\frac{5}{7}$$ hours
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