SOLUTION: An experienced bricklayer can work twice as fast as an apprentice bricklayer. After they worked 8 hrs. the experienced one quit. The apprentice required 12 more hrs. to finish the
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: An experienced bricklayer can work twice as fast as an apprentice bricklayer. After they worked 8 hrs. the experienced one quit. The apprentice required 12 more hrs. to finish the
Log On
Question 413303: An experienced bricklayer can work twice as fast as an apprentice bricklayer. After they worked 8 hrs. the experienced one quit. The apprentice required 12 more hrs. to finish the job. How long would it take the experienced one, working alone, to do the job? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! An experienced bricklayer can work twice as fast as an apprentice bricklayer.
After they worked 8 hrs. the experienced one quit.
The apprentice required 12 more hrs to finish the job.
How long would it take the experienced one, working alone, to do the job?
:
Let t = experienced bricklayer's time alone to do the job
it says,"An experienced bricklayer can work twice as fast as an apprentice bricklayer."therefore
2x = apprentice time working alone
:
Let the completed job = 1
:
A typical shared work equation
The apprentice worked a total of: 8 + 12 = 20 hrs + = 1
multiply eq by 2x, results
2(8) + 20 = 2x
16 + 20 = 2x
36 = 2x
x =
x = 18 hr for the experience guy to do the job
:
;
Check solution
8/18 + 20/36 =
4/9 + 5/9 =1
