SOLUTION: A cement mason can construct a retaining wall in 12 h. A second mason requires 10 h to do the same job. After working alone for 6 h, the first mason quits. How long will it take th

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Question 1176266: A cement mason can construct a retaining wall in 12 h. A second mason requires 10 h to do the same job. After working alone for 6 h, the first mason quits. How long will it take the second mason to complete the wall?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
First mason, 12 hours for 1 job
Second mason, 10 hours for 1 job
Time for second mason to finish, for the question, m.

6%281%2F12%29%2Bm%281%2F10%29=1-------------Solve this for m.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
A cement mason can construct a retaining wall in 12 h.
A second mason requires 10 h to do the same job.
After working alone for 6 h, the first mason quits.
How long will it take the second mason to complete the wall?
~~~~~~~~~~~~

After working 6 hours, the first mason, completed one half of the job;  
another half remained to be completed by the second mason.


So, the second mason needs  %28%281%2F2%29%29%2F%28%281%2F10%29%29%29 = 10%2F2 = 5 hours to complete that half 

and the entire job / (the entire wall).    ANSWER

Solved.

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It is  MENTAL  solution by  REASONING.