SOLUTION: Hannah can paint a room in 9 hours. Destiny can paint the same room in 12 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Hannah can paint a room in 9 hours. Destiny can paint the same room in 12 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 982445: Hannah can paint a room in 9 hours. Destiny can paint the same room in 12 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Hannah can paint a room in 9 hours. Destiny can paint the same room in 12 hours. How long does it take for both Hannah and Destiny to paint the room it they are working together.
-----
Hannah rate:: 1/9 job/hr
Destiny rate:: 1/12 job/hr
Together rate:: 1/x job/hr
-----------------
Equation:
rate + rate = together rate
1/9 + 1/12 = 1/x
12x + 9x = 9*12
21x = 108
x = 5.143 hrs = 5 hr 8min 34sec (time to do the job together)
-----------------
Cheers,
Stan H.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Agent A does a job in x hours. Agent B does the same job in y hours. How long does it take for both agents A and B to do the job if they work together?

1%2F%281%2Fx%2B1%2Fy%29, hours