An interval of 3 hours 40 minutes is incorrectly recorded as 3 hours 45.5 minutes. Calculate the percentage error in the estimation.

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To calculate the percentage error:

1. Convert the correct time into minutes:  
   - Correct time = $$3 \, 	ext{hours} \, + \, 40 \, 	ext{minutes} = (3 	imes 60 + 40) = 220 \, 	ext{minutes}$$.

2. Determine the error:  
   - Error = $$3 \, 	ext{hours} \, + \, 45.5 \, 	ext{minutes} - 220 = (3 	imes 60 + 45.5) - 220 = 225.5 - 220 = 5.5 \, 	ext{minutes}$$.

3. Calculate the percentage error:  
   - Error percentage = $$\left(\frac{	ext{Error}}{	ext{Correct Time}} 	imes 100ight)\%$$.  
   - Substituting values:  
     $$
     	ext{Error percentage} = \left(\frac{5.5}{220} 	imes 100ight)\% = \frac{550}{2200}\% = 2.5\%.
     $$

Thus, the percentage error is **2.5%**.

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