SOLUTION: An experienced bricklayer can work twice as fast as an apprentice bricklayer. After they worked together on a job for 4 h, the experienced bricklayer quit. The apprentice required

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Question 908940: An experienced bricklayer can work twice as fast as an apprentice bricklayer. After they worked together on a job for 4 h, the experienced bricklayer quit. The apprentice required 12 more hours to finish the job. How long would it take the experienced bricklayer, working alone, to do the job?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +2R+ = the experienced
bricklayer's rate of working
----------------------------
Let +R+ = the apprentice
bricklayer's rate of working
---------------------------
I can say:
+4%2A%28+R+%2B+2R+%29+ = fraction of the job
they completed working together
+1+-+4%2A%28+R+%2B+2R+%29+ = fraction of the job
left to finish
---------------
Now I can say:
+R+=+%28+1+-+4%2A%28+R+%2B+2R+%29+%29+%2F+12+
+12R+=+1+-+12R+
+24R+=+1+
+R+=+1%2F24+
and
+2R+=+2%2F24+
+2R+=+1%2F12+
The experienced bricklayer would
take 12 hrs to do the job working alone
----------------
check:
+4%2A%28+R+%2B+2R+%29+ = fraction of the job
they completed working together
+4%2A%28+1%2F24+%2B+2%2F24+%29+=+4%2A%28+1%2F8+%29+
+4%2A%281%2F8%29+=+1%2F2+
There is +1%2F2+ left
+R+=+%28+1+-+4%2A%28+R+%2B+2R+%29+%29+%2F+12+
+R+=+%281%2F2+%29+%2F+12+
+R+=+1%2F24+
OK