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How much time is there between 7:45 am today and 3:15 pm tomorrow?

A \(31 \frac{\mathrm{1} }{\mathrm{2}}\) hours

From 7:45 am today to 7:45 am tomorrow is 24 hours. From 7:45 am tomorrow to 3:15 pm tomorrow is \(7 \frac{\mathrm{1} }{\mathrm{2}}\) hours. Add them up and we get the correct answer.