Problema Solution
You and your brother a house cleaning business for the summer. Your brother needs twice the time you need to clean a certain room. Working together, the two of you need 60 minutes to clean the room. How long does it take for you to clean it by yourself? How long will each of you need to clean the room individually?
Answer provided by our tutors
let
x = the minutes I need to clean the room by myself
y = the minutes my brother needs to clean the room by himself
Your brother needs twice the time you need to clean a certain room
y = 2x
Working together, the two of you need 60 minutes to clean the room
1/x + 1/y = 1/60
plug y = 2x into the equation
1/x + 1/(2x) = 1/60
by solving we find
x = 90 min
click here to see the step by step solution of the system of equations
y = 2*90
y = 180 min
I need 90 minutes to clean the room by myself.
My brother needs 180 min to clean the room by himself.