To solve this problem, we need to calculate the distance Bob drove, given his speed and the time he traveled.

Problem Statement:

Bob drove for 15 minutes at 20 miles per hour. How far did Bob drive?

Solution:

1. Convert time from minutes to hours:

   • $15 \text{ minutes} = \frac{15}{60} \text{ hours} = 0.25 \text{ hours}$.

2. Use the formula for distance: $\text{Distance} = \text{Speed} \times \text{Time}$ Substituting the values: $\text{Distance} = 20 \text{ miles/hour} \times 0.25 \text{ hours} = 5 \text{ miles}$

Answer:

Bob drove 5 miles, so the correct answer is A. 5 miles.

Would you like further details or have any additional questions?

Here are 5 related questions to explore:

1. How would the distance change if Bob drove for 30 minutes at the same speed?
2. What formula would you use if Bob’s speed varied over the 15 minutes?
3. How much time would Bob need to drive 20 miles at 20 miles per hour?
4. If Bob drove at 10 miles per hour for the same duration, how far would he travel?
5. How do you convert 20 miles per hour to meters per second?

Tip: Always remember to convert time into hours when using the formula $\text{Distance} = \text{Speed} \times \text{Time}$ with speed given in miles per hour.