Problema Solution
When Loraine and Gabriel both work, they can paint a certain house in 8 days. Also they could just paint this house if Loraine work 12 days and Gabriel for 6 days. How long would it take each to paint the house?
Answer provided by our tutors
Let
x = the days Loraine needs to paint the house alone, x>0
y = the days Gabriel needs to paint the house alone, y>0
1/x house per day is the rate of Loraine
1/y house per day is the rate of Gabriel
1/x + 1/y = 1/8
12/x + 6/y = 1
........
click here to see the system of equation solved for x and y
........
x = 24 days
y = 12 days
Loraine needs 24 days to paint the house alone.
Gabriel needs 12 days to paint the house alone.