SOLUTION: Mr. Downey can build a wall in 9 hours. His son Carl can build the same wall in 18 hours. Mr. Downey started to build the wall, worked for 3 hours, and then stopped working. How m

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Mr. Downey can build a wall in 9 hours. His son Carl can build the same wall in 18 hours. Mr. Downey started to build the wall, worked for 3 hours, and then stopped working. How m      Log On


   



Question 1193094: Mr. Downey can build a wall in 9 hours. His son Carl can build the same wall in 18 hours. Mr. Downey started to build the wall, worked for 3 hours, and then stopped working. How many hours would Carl require to complete the wall?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52899) About Me  (Show Source):
You can put this solution on YOUR website!
.
Mr. Downey can build a wall in 9 hours. His son Carl can build the same wall in 18 hours.
Mr. Downey started to build the wall, worked for 3 hours, and then stopped working.
How many hours would Carl require to complete the wall?
~~~~~~~~~~~~~~~~~

Working for 3 hours, Mr. Downey completed 1/3 of the job; 2/3 of the job remained.


Hence, his son Carl needs 2/3 of 18 hours to complete the remaining job.


ANSWER.  Carl needs 12 hours to complete the job.

Solved.



Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Downey and Carl each worked separately.
If Carl's part requires x amount of hours,
%281%2F9%29%2A3%2B%281%2F18%29%2Ax=1
-
1%2F3%2Bx%2F18=1
18%281%2F3%2Bx%2F18%29=18
6%2Bx=18
highlight%28x=12%29