To solve this, let's first calculate the rate at which the candle burns per hour.

The candle is 44 inches tall and burns for 88 hours, so the rate of burning per hour is:

$\frac{44 \, \text{inches}}{88 \, \text{hours}} = \frac{1}{2} \, \text{inches per hour}$

Now, the problem asks after how many hours the candle will burn down 3 and 1/4 inches (which is $3 \frac{1}{4} = \frac{13}{4}$).

Next, use the rate to find the time:

$\text{Time} = \frac{\text{Amount burned}}{\text{Rate}} = \frac{\frac{13}{4} \, \text{inches}}{\frac{1}{2} \, \text{inches per hour}} = \frac{13}{4} \times \frac{2}{1} = \frac{13 \times 2}{4} = \frac{26}{4} = 6.5 \, \text{hours}$

So, the candle will burn 3 and one quarter inches in 6.5 hours.

Answer: 6.5 hours

Let me know if you have any questions or need further details!

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Related Questions:

1. What is the total time for the candle to burn halfway?
2. How many inches will be left after 30 hours of burning?
3. How many hours will it take to burn 10 inches of the candle?
4. What is the total number of hours to burn 1 inch?
5. If the candle burned 5 inches, how much time would have passed?

Tip:

Whenever you have a constant rate of change, like this burning candle, dividing the total amount by the rate gives you the time required!