Question 163685
I think you made an error here.

The question states that 3 people worked but what about Bill's wife?

Bill + his wife + Christine + Max = 4 people

I will assume that you did not mistype anything.

Let M = the hours that Max worked.

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Bill = 2(M + 5) + 3 hours

Christine = M + 5 hours

Max = M hours

All three worked 62 hours.

2(M + 5) + 3 + M + 5 + M = 62 hours

2M + 10 + 3 + 2M + 5 = 62 hours

4M + 18 = 62 hours

4M = 62 - 18 hours

4M = 44 hours

M = 44/4 hours

M = 11 hours

So, Max worked 11 hours assuming that Bill's wife did not work.