SOLUTION: larry can paint the walls in 8hour. after working 3 hrs. partick joins and they finish in 2 hrs. how long would it take patrick to do the entire without larry?

Question 846335: larry can paint the walls in 8hour. after working 3 hrs. partick joins and they finish in 2 hrs. how long would it take patrick to do the entire without larry?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Larry can paint the walls in 8hour.
After working 3 hrs, Patrick joins and they finish in 2 hrs.
how long would it take Patrick to do the entire without Larry?
:
let p = Patrick's time to do the job alone
let the completed job = 1
;
A shared work equation, each will do a fraction of the work, the two fractions add up one.
L works 5 hrs, P works 2 hrs
+ = 1
multiply by 8p, results:
5p + 8(2) = 8p
5p + 16 = 8p
16 = 8p - 5p
16 = 3p
p = 16/3
p = 5 hrs, Patrick alone

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