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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Expert Answer

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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6 18 9 x 18 6 = 1- 18 3 9 18x9 54 3

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Algebra

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