Problema Solution
Andrew can paint the neighbors house 3 times as fast as Bailey. The year Andrew and Bailey worked together it took them 2 days, how long would it take each to paint the house?
Answer provided by our tutors
let
x = the days that Andrew needs to paint the house alone thus his rate is 1/x houses per day
y = the days that Bailey needs to paint the house alone thus his rate is 1/y houses per day
Andrew can paint the neighbors house 3 times as fast as Bailey
x = 2y
together they paint the house in 2 days thus their together rate is 1/2 houses per day
1/x + 1/y = 1/48
plug x = 2y into the last equation
1/(2y) + 1/y = 1/48
by solving we find
y = 3 days
click here to see the step by step solution of the equation
x = 3*3
x = 9 days
Andrew will paint the house alone in 9 days.
Bailey will paint the house alone in 3 days.