Question

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. a)0.14 hours b)12 hours c)1.71 hours.

Answer 1

Answer:

1.71 hours

Step-by-step explanation:

Wade's work rate is 1/4 room/hour

Rhoda's work rate is 1/3 room/hour.

Let the time taken for both of them working together be x.

This means 1/4(x) + 1/3(x) = 1

(4x + 3x)/12 = 1

7x/12 = 1

7x = 12

x = 12/7 = 1.71