Problema Solution
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 6 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.
Answer provided by our tutors
let
x = the number of hours Wade and Rhonda need to finish the room together, x>0
Wade and Rhonda's together rate is 1/x room per hour
Wade can paint a certain room in 6 hours thus his rate is 1/6 room per hour
Rhonda can paint the same room in 3 hours thus her rate is 1/3 room per hour
now we can write:
1/6 + 1/3 = 1/x
by solving we find:
x = 2 hr
click here to see the step by step solution of the equation:
it will take them 2 hours to paint the room together.