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.

A. 0.08 hours

B. 17.5 hours

C. 6 hours

D. 2.92 hours

Question

Mathematics

Guest

23 June, 00:13

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.

A. 0.08 hours

B. 17.5 hours

C. 6 hours

D. 2.92 hours

+1

Answers (1)

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Dud · Answer 1

Hours to complete the job:

Wade = 7

Rhonda = 5

Together = t

Work completed per hour:

Wade = 1/7

Rhonda = 1/5

Together = 1/t

Adding them together:

1/7 + 1/5 = 1/t

12/35 = 1/t

t = 2.92

Therefore, it would take them 2.92 hours if they worked together.