A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishing touches on a house they built. Working alone, Wade can paint a certain room in 4 hours. Rhonda can paint the same room in 3 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary. 1.71 hours 0.14 hours 12 hours 3.5 hours

1 answer

To calculate how long it will take Wade and Rhonda to paint the room together, we can first determine their combined rate of work.

Wade's rate of work: 1 room/4 hours = 1/4 rooms per hour
Rhonda's rate of work: 1 room/3 hours = 1/3 rooms per hour

Combined rate of work: 1/4 + 1/3 = 3/12 + 4/12 = 7/12 rooms per hour

Therefore, working together, Wade and Rhonda can paint 7/12 of the room in one hour.

To find the total time it will take them to paint the room together, we can divide 1 room by their combined rate of work:

1 / (7/12) = 1 * (12/7) = 12/7 ≈ 1.71 hours

Therefore, it will take Wade and Rhonda working together approximately 1.71 hours to paint the room. Rounded to the nearest hundredth, the final answer is 1.71 hours.