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Two taps A and B can each fill an empty tank in 3 hours and 2 hours respectively. A drainage tap R can empty the full tank in 6 hours. Taps A and R are opened for 5 hours then closed.
(a) Determine the fraction of the tank that is still empty.
(b) Find how long it would take to fill the remaining fraction of the tank if all the three taps are opened.