To determine how far a jogger can run in 2 hours at a speed three times the typical walking rate, we can follow these steps:
1. Determine the walking rate:
- A typical walking rate is given as 1 mile in 20 minutes.
2. Convert the walking rate to miles per minute:
- 1 mile in 20 minutes means the walking rate is [tex]\(\frac{1}{20}\)[/tex] miles per minute.
3. Calculate the jogging rate:
- If the jogger is jogging at a speed 3 times the walking rate, the jogging rate is [tex]\(3 \times \frac{1}{20}\)[/tex] miles per minute.
- Simplifying this, [tex]\(3 \times \frac{1}{20} = \frac{3}{20}\)[/tex] miles per minute.
4. Determine the total time spent jogging:
- The jogger jogs for 2 hours. Converting hours to minutes: [tex]\(2 \text{ hours} \times 60 \text{ minutes/hour} = 120 \text{ minutes}\)[/tex].
5. Calculate the total distance jogged:
- The distance jogged is the jogging rate multiplied by the total time. So, it’s [tex]\(\frac{3}{20} \text{ miles per minute} \times 120 \text{ minutes}\)[/tex].
- Performing the multiplication: [tex]\(\frac{3}{20} \times 120 = \frac{360}{20} = 18\)[/tex] miles.
6. Match the distance to the given choices:
- The calculated distance jogged is 18 miles.
- From the provided choices:
- A. 2 to 3 miles
- B. 5 to 6 miles
- C. 8 to 13 miles
- D. 15 to 30 miles
- E. 30 to 35 miles
- The correct range that 18 miles falls into is D. 15 to 30 miles.
Therefore, approximately how far can the jogger jog in 2 hours? The answer is:
D. 15 to 30 miles.
