SOLUTION: need help with this one al can paint a house in 10 days and ben can paint the house in 12 how long will it take to paint the house if both men work?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: need help with this one al can paint a house in 10 days and ben can paint the house in 12 how long will it take to paint the house if both men work?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 170832: need help with this one

al can paint a house in 10 days and ben can paint the house in 12 how long will it take to paint the house if both men work?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
al can paint a house in 10 days and ben can paint the house in 12 how long will it take to paint the house if both men work?
----------
Al DATA:
Time = 10 day/job ; Rate = 1/10 job/day
-----------------------------------------
Ben DATA:
Time= 12 day/job ; Rate = 1/12 job/day
-----------------------------------------
Together DATA:
Time = x day/job ; Rate = 1/x job/day
---------------------------------------
rate + rate = together rate
1/10 + 1/12 = 1/x
22/(10*12) = 1/x
x = 120/22
x = 5.454545...(# of days to do the job together)
====================================================
Cheers,
Stan H.