To determine how many miles a small airplane can fly in one hour at the given rate, let's follow a step-by-step approach:
1. Determine the distance flown and the time taken:
- The airplane flew 104 miles in 50 minutes.
2. Convert the time from minutes to hours:
- Since there are 60 minutes in an hour, we need to convert 50 minutes to hours.
- [tex]\( 50 \text{ minutes} = \frac{50}{60} \text{ hours} = \frac{5}{6} \text{ hours} \)[/tex].
3. Calculate the rate of speed in miles per hour:
- The airplane's speed (rate) can be calculated by dividing the distance flown by the time taken in hours.
- The rate of speed = [tex]\( \frac{104 \text{ miles}}{\frac{5}{6} \text{ hours}} \)[/tex].
4. Simplify the rate calculation:
- To divide by a fraction, you multiply by its reciprocal.
- So, [tex]\( \frac{104 \text{ miles}}{\frac{5}{6} \text{ hours}} = 104 \text{ miles} \times \frac{6}{5} \text{ hours} \)[/tex].
5. Multiply to find the rate:
- Multiply 104 by [tex]\( \frac{6}{5} \)[/tex]:
- [tex]\( 104 \times \frac{6}{5} \)[/tex].
6. Perform the multiplication:
- [tex]\( 104 \times \frac{6}{5} = 124.8 \)[/tex].
Therefore, the airplane can fly 124.8 miles in one hour at this rate.
