# A roofer requires 9 h to shingle a roof. After the roofer and an apprentice work on a roof for 6 h, the roofer moves on to another job. The apprentice requires 12 more hours to finish the job. How long would it take the apprentice, working alone, to do the job?h

Question
Asked Nov 11, 2019
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A roofer requires 9 h to shingle a roof. After the roofer and an apprentice work on a roof for 6 h, the roofer moves on to another job. The apprentice requires 12 more hours to finish the job. How long would it take the apprentice, working alone, to do the job?
h

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Step 1

Hours taken by the roofer is 9 h.

On working together the roofer and an apprentice work on a roof for 6 h.

It is given, the apprentice requires 12 more hours to finish the job.

i.e. the apprentice worked for a total 12 + 6 = 18 h.

Let x be the time required by the apprentice to do the job alone.

Let the completed job be 1.

Step 2

We have...

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