P and Q together can do a work in 18 days. If P is 50% more efficient than Q, then in what time can Q do the work?

Since P is 50 percent more efficient than Q, the ratio of their efficiencies is 3 to 2. This means their combined efficiency is 5 units per day, so their total work is 18 days multiplied by 5 units, which equals 90 units. Working alone at an efficiency of 2 units per day, Q requires 90 units divided by 2 units per day, resulting in 45 days.

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