Final answer:
Pablo and Brenna, when working together, have a combined painting rate of 0.625 rooms per hour. It will take them 1.6 hours, or 96 minutes, to paint a room together.
Step-by-step explanation:
We need to figure out how long it will take Pablo and Brenna to paint a room together. We can start by determining their individual rates of work and then combine these rates to find the time they take when working together.
Pablo can paint a room in 2 hours, so his rate is 1 room per 2 hours, or 0.5 rooms per hour. Brenna can paint a room in 8 hours, so her rate is 1 room per 8 hours, or 0.125 rooms per hour. To find the combined rate, we simply add their individual rates:
Combined rate = Pablo's rate + Brenna's rate
Combined rate = 0.5 + 0.125
Combined rate = 0.625 rooms per hour
This means together they paint 0.625 of a room in one hour. To find the time it takes for them to paint one whole room, we take the reciprocal of their combined rate:
Time taken = 1 / Combined rate
Time taken = 1 / 0.625
Time taken = 1.6 hours or 1 hour and 36 minutes
Therefore, it will take Pablo and Brenna 1.6 hours, or 96 minutes, working together to paint a room.