Let’s solve the problem step by step:

Problem:

• Ana can cycle 6 miles in 24 minutes.
• We need to find out how many miles Ana can cycle in 14 minutes at the same rate.

Solution:

1. Calculate Ana's rate of cycling (miles per minute): $\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{6 \, \text{miles}}{24 \, \text{minutes}} = 0.25 \, \text{miles/minute}$

2. Use the rate to find the distance covered in 14 minutes: $\text{Distance} = \text{Rate} \times \text{Time} = 0.25 \, \text{miles/minute} \times 14 \, \text{minutes} = 3.5 \, \text{miles}$

Final Answer:

Ana can cycle 3.5 miles in 14 minutes.

Let me know if you'd like a deeper explanation or have further questions!

Related Questions:

1. How do you calculate rate when given time and distance?
2. If Ana increased her speed by 25%, how far would she travel in 14 minutes?
3. What would be Ana's cycling time for 10 miles at the same rate?
4. If Zachary's cycling speed doubles, how long would he take to cycle 10 miles?
5. How does Ana's speed compare to Zachary's current speed?

Tip:

When solving proportional problems, always double-check the units to ensure consistency throughout the calculation!