Question 973623
This is arranged as a uniform rates exercise, so you would assume (maybe incorrect in actual practice) that each person works according to his own rate.


1 job is, install a floor.


Person_____________Rate, job per hour
Apprentice__________{{{1/(x+2)}}}
Experienced__________{{{1/x}}}
Both together______{{{1/(x+2)+1/x}}}


The process of these workers is both together for 2 hours, the apprentice alone for 2 more hours; and the job is finished.


RT=J for rate, time, job quantity.  The sum of the work to be done will be 1 job.


{{{(1/(x+2)+1/x)*2+(1/(x+2))2=1}}}.


Your algebra or arithmetic skills should be enough that you can solve the equation for x, which is the time for the experienced carpenter to do 1 job alone.  You can then find x+2.