Pregunta
Question A 9-inch candle burns down in 6 hours. How far has it burned after \( 5 \frac{1}{2} \) hours? Use the dropdown menu to state your answer as a decimal, mixed number, or improper fraction. Answer Attempt 1 out of 2 Answer type: Whole number/Decimal in.
Ask by Salazar Reyes. in the United States
Jan 23,2025
Solución de tutoría real
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After \( 5 \frac{1}{2} \) hours, the candle has burned 8.25 inches.
Solución
To determine how far the candle has burned after \( 5 \frac{1}{2} \) hours, follow these steps:
1. **Calculate the burning rate:**
\[
\text{Burning Rate} = \frac{\text{Total Length}}{\text{Total Time}} = \frac{9\ \text{in}}{6\ \text{hours}} = 1.5\ \text{in/hour}
\]
2. **Determine the distance burned in \( 5 \frac{1}{2} \) hours:**
\[
\text{Distance Burned} = \text{Burning Rate} \times \text{Time} = 1.5\ \text{in/hour} \times 5.5\ \text{hours}
\]
\[
\text{Distance Burned} = 8.25\ \text{in}
\]
**Answer:**
8.25 in.
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Simplifique esta solución Extra Insights
After 5 and a half hours, the candle will have burned 8.75 inches. The candle burns down at a rate of 1.5 inches per hour (9 inches ÷ 6 hours = 1.5 inches/hour). So, for 5.5 hours, you multiply the burn rate by this time: 1.5 inches/hour × 5.5 hours = 8.25 inches. Subtracting this from the initial 9 inches gives you the remaining candle length. To visualize this, think of the candle as running a marathon! It runs strong for 6 hours but slows down as it reaches the finish line. In "candle hours," that means after 5.5 hours, it's just a few inches shy from being totally burned out, leaving you with 0.25 inches of candle life!
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