Question 846335
 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
{{{5/8}}} + {{{2/p}}} = 1
multiply by 8p, results:
5p + 8(2) = 8p
5p + 16 = 8p
16 = 8p - 5p
16 = 3p
p = 16/3
p = 5{{{1/3}}} hrs, Patrick alone