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
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.