Problema Solution

carlos can paint a certain fence in 3 hours. If Magno helps him the job takes only 2 hours. how long would it take MAgno to paint the fence by himself?

Answer provided by our tutors

carlos paints the fence alone in 3 hours thus his rate is 1 fence in 3 hours = 1/3 fence/hour


lets say magno needs x hours to paint the rate alone or he has a rate is 1/x fence/hour


together they paint the fence is 2 hours thus their rate is 1/2 fences per hour


1/3 + 1/x = 1/2


by solving the equations we find


x = 6 hours


click here to see the step by step solution of the equations


Click to see all the steps



Magno needs 6 hours to paint the fence by himself.