Question

AI, Buck, and Carlos work for a house painting business. On average, Al paints the molding in a room in 0.5 hour, Buck needs hour per room, and Carlos takes 0.3 hour.Write an equation they could use to estimate the time, in hours, needed to paint the molding in an 8-room house if the three work together What is this estimate?

Answer 1

To estimate the time needed to paint the molding in an 8-room house, we can calculate the combined work rate of Al, Buck, and Carlos. Their combined work rate is 6.33 rooms per hour, so it would take approximately 1.26 hours to complete the job together.

Step-by-step explanation:

To estimate the time needed to paint the molding in an 8-room house when Al, Buck, and Carlos work together, we can use the concept of work rates. Let's calculate the individual work rates of each painter:

• Al's work rate: 1 room per 0.5 hour = 2 rooms per hour.
• Buck's work rate: 1 room per hour = 1 room per hour.
• Carlos's work rate: 1 room per 0.3 hour = 3.33 rooms per hour (rounded to two decimal places).

When they work together, their work rates add up. So, the combined work rate of Al, Buck, and Carlos is:

• Combined work rate = Al's work rate + Buck's work rate + Carlos's work rate
• Combined work rate = 2 rooms per hour + 1 room per hour + 3.33 rooms per hour
• Combined work rate = 6.33 rooms per hour (rounded to two decimal places)

To estimate the time needed to paint the molding in an 8-room house, we can divide the total number of rooms (8) by the combined work rate:

• Time needed = Total number of rooms / Combined work rate
• Time needed = 8 rooms / 6.33 rooms per hour
• Time needed = 1.26 hours (rounded to two decimal places).

Therefore, it would take approximately 1.26 hours to paint the molding in an 8-room house if Al, Buck, and Carlos work together.