Problema Solution
Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it took them 8 days. How long would it take each to paint the house?
Answer provided by our tutors
let
x = the number of days Person B needs to paint the house alone, x>0
1/x house per day = the rate of Person B
x/5 = the number of days Person A needs to paint the house alone
5/x house per day = the rate of Person A
8 days = the number of days A and B need together
1/8 house per day = the together rate of A and B
1/x + 5/x = 1/8
by solving we find:
x = 48 days
click here to see the step by step solution of the equation:
48/5 = 9.6 days
Person A needs 48 days to paint the house alone.
Person B needs 9.6 days to paint the house alone.