Problema Solution
Person A can paint the neighbor's house 3 times as fast as Person B. The year A and B worked together, it took them 4 days. How long would it take each to paint the house?
Answer provided by our tutors
let
a = the number of days person A needs to pain the house alone, a>0
1/a house per day is the rate of person A
b = the number of days person B needs to pain the house alone, b>0
1/b house per day is the rate of person B
Person A can paint the neighbor's house 3 times as fast as Person B
b = 3a
The year A and B worked together, it took them 4 days
1/a + 1/b = 1/4
plug b = 3a into the last equation
1/a + 1/(3a) = 1/4
by solving we find
a = 16/3 days
a = 5 1/3 days
click here to see the step by step solution of the equation
b = 3*(16/3)
b = 16 days
Person A can pain the house alone in 5 1/3 days.
Person B can pain the house alone in 16 days.