To determine how long it will take Wade and Rhonda to paint the room together, we need to calculate their combined work rate.
Work rate = 1 / time
Wade's work rate = 1 / 7 hours = 0.142857 rooms per hour
Rhonda's work rate = 1 / 5 hours = 0.2 rooms per hour
Combined work rate = 0.142857 + 0.2 = 0.342857 rooms per hour
To find out how long it will take Wade and Rhonda to paint the room together, we need to divide the total work (1 room) by their combined work rate.
Time = 1 / combined work rate
Time = 1 / 0.342857
Time ≈ 2.92
Therefore, it will take Wade and Rhonda approximately 2.92 hours to paint the room together.
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 7 hours. Rhonda can paint the same room in 5 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth, if necessary.
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