Question

John can paint 1 house in 12 hours while Robert can paint 1 house in 8 hours. Which number represents the amount of time, in hours, that it takes John and Robert to paint 1 house together? A) 5 hours B) 10 hours C) 6 hours D) 20 hours

Answer 1

John and Robert take approximately 12.5 hours together to paint 1 house.

Step-by-step explanation:

To find the amount of time it takes John and Robert to paint 1 house together, we need to find the combined rate at which they paint. John can paint 1 house in 12 hours, while Robert can paint 1 house in 8 hours. We can calculate their combined rate by adding their individual rates:

John's rate = 1 house per 12 hours

Robert's rate = 1 house per 8 hours

Combined rate = John's rate + Robert's rate

= 1/12 + 1/8

= 2/24 + 3/24

= 5/24

Therefore, it would take John and Robert together 5/24 of an hour or approximately 12.5 hours to paint 1 house together.