Based on the information provided, we can draw some conclusions regarding the time Maryna and Sonia spent on writing per problem:
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Maryna spent more time writing per problem at the unit rate of 25 minutes per problem. - This suggests that for every problem Maryna worked on, she took longer (25 minutes) compared to a standard unit of time.
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Sonia spent more time writing per problem at the unit rate of 20 minutes per problem. - Sonia's unit rate of 20 minutes per problem indicates that she completed problems more quickly than Maryna, given that 20 minutes is less than 25 minutes.
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Maryna spent less time writing per problem at the unit rate of 1 problem per 25 minutes. - This reinforces the earlier point that Maryna took longer per problem since it translates to one problem taking her 25 minutes.
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Sonia spent the same amount of time as Maryna at the unit rate of 25 minutes per problem. - This doesn't appear to be consistent with the previous information if we assert that Sonia took only 20 minutes per problem.
From the provided statements, we can conclude that:
- Maryna takes longer (25 minutes) per problem than Sonia (20 minutes).
- There seems to be a contradiction with the claim that Sonia spent the same amount of time as Maryna at 25 minutes per problem; if Sonia is indeed at 20 minutes per problem, then she would not be spending the same amount of time as Maryna.
Thus, it can be summarized that:
- Maryna takes longer than Sonia per problem, with Sonia being more efficient in her time management.
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