Question

Can someone help me please?


Application of Rational Equations:
I am supposed to come up with a word problem and then proceed to solve said problem, here is my word problem.

It takes Ron 2 hours to clean his room (1/2). It takes Ron's brother 3 hours to clean his room (1/3). How many hours will it take Ron and his brother to clean a room if they work together?

1/2+1/3=1/x
(1/2)*3x/3x=(3x/6x)
(1/3)*2x/2x=(2x/6x)
(1/x)*6/6=6/6x

Since the Denominators are the same they cancel out and leave me with
3x+2x=6

Combine like terms
3x+2x=5x
5x=6
Isolate the X
5x/5=6/5
x=6/5 or 1and1/5
Is this correct?

Answer 1

@iGreen

Answer 2

you have the correct steps and final answer

Answer 3

Awesome, Thank you!

Answer 4

np