Final answer:
To calculate the burning time of the candle, the height of the candle is divided by the melting rate per hour, resulting in a burning time of just over 10 hours.
Step-by-step explanation:
The question involves calculating the total burning time of a candle based on its initial height and the rate at which it melts per hour. To find out for how many hours the candle will burn, we need to divide the total height of the candle by the height it melts away each hour.
First, let's convert the candle's height and melting rate to improper fractions to make the calculations easier:
- 11 2/5 inches is the same as 57/5 inches.
- 1 1/8 inches per hour is the same as 9/8 inches per hour.
Now, we divide 57/5 by 9/8 to find the total hours the candle will burn:
57/5 ÷ 9/8 = (57/5) × (8/9) = 456/45 = 10.1333...
This means the candle will burn for just over 10 hours.