Problema Solution
Hannah can paint a room in 12 hours. Destiny can paint the same room in 20 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.
Answer provided by our tutors
Hannah can paint a room in 12 hours thus her rate is 1/12 room per hour
Destiny can paint the same room in 20 hours thus her rate is 1/20 room per hour
let
x = the number of hours both Hannah and Destiny need to paint the room together
1/x room per hour = the together rate of Hannah and Destiny
1/12 + 1/20 = 1/x
by solving we find:
x = 7.5 hr
click here to see the step by step solution of the equation:
it takes 7.5 hours for both Hannah and Destiny to paint the room together.