Final answer:
Person A and Person B would together take approximately 1.71 hours or about 1 hour and 43 minutes to paint a room, based on their individual rates.
Step-by-step explanation:
The subject of this question involves rate problems in mathematics, specifically in the area of work problems. Here, we are looking at the rates at which Person A and Person B can paint a room.
Person A paints 1 room in 4 hours, which gives a rate of 1/4 room per hour. Similarly, Person B paints 1 room in 3 hours, giving a rate of 1/3 room per hour.
If they work together, their rates add up. So, together, they can paint at a rate of (1/4 + 1/3) rooms per hour, which equals 7/12 of a room per hour. To find out how long it takes to paint one room, we divide 1 by their combined rate, which gives us approximately 1.71 hours or about 1 hour and 43 minutes.
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