Question 1125097
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When Joe and Moe work together, it is the same as if THREE instances of Joe work simultaneously: Joe1, Joe2 and Joe3.


The condition informs us that these tree instances of Joe will complete the job in 32 minutes; 

it means that Joe alone will do the entire job in 3*32 = 96 minutes, which answers the question.
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So, &nbsp;it is the way to solve the problem &nbsp;MENTALLY, &nbsp;without using equations.


Formally, &nbsp;it is the same logic as in the solution by @josgarithmetic, &nbsp;but presented in wording form without using equations.


It would be ideally if you, &nbsp;the reader &nbsp;(the student) &nbsp;have both these technologies &nbsp;(methods) &nbsp;in your hands and in your mind.