SOLUTION: A roofer requires 16 h to shingle a roof. After the roofer and an apprentice work on a roof for 3 h, the roofer moves on to another job. The apprentice requires 10 more hours to fi

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A roofer requires 16 h to shingle a roof. After the roofer and an apprentice work on a roof for 3 h, the roofer moves on to another job. The apprentice requires 10 more hours to fi      Log On


   

Question 816902: A roofer requires 16 h to shingle a roof. After the roofer and an apprentice work on a roof for 3 h, the roofer moves on to another job. The apprentice requires 10 more hours to finish the job. How long would it take the apprentice, working alone, to do the job?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
3/16+3/y+10/y=1
13/y=13/16
y=16
Altogether 16 (3+3+10) man hours were used which is the same as the roofer working alone