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The factory produces 100 parts in 50 minutes.

Explanation:

Giving the following information:

Current productibity= 100 parts/hour

Increase in productivity= 20%

This means that the factory makes 120 parts an hour or 100 parts in:

120 parts= 60 minutes

100 parts= x

x= (100*60) / 120

x= 50 minutes

The factory produces 100 parts in 50 minutes.