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Question 4 of 43

Danielle needs to walk 4 miles. If she wants to reach her destination in 50 minutes ([tex]\frac{5}{6}[/tex] hour), how fast does she need to walk?

A. 200 miles per hour
B. 12.5 miles per hour
C. 4.8 miles per hour
D. 3.3 miles per hour


Sagot :

To solve the problem, let's determine how fast Danielle needs to walk:

1. Understanding the Given Information:
- Distance to be walked: 4 miles
- Time available: 50 minutes

2. Convert Time from Minutes to Hours:
- We know there are 60 minutes in an hour.
- Time in hours is calculated by dividing the time in minutes by the number of minutes in an hour:
[tex]\[ \text{Time in hours} = \frac{50 \text{ minutes}}{60 \text{ minutes/hour}} = \frac{5}{6} \text{ hours} \approx 0.8333 \text{ hours} \][/tex]

3. Calculate the Required Speed:
- Speed is calculated by dividing the distance by the time taken to cover that distance.
- Using the given numbers:
[tex]\[ \text{Speed} = \frac{\text{Distance (miles)}}{\text{Time (hours)}} = \frac{4 \text{ miles}}{0.8333 \text{ hours}} \approx 4.8 \text{ miles/hour} \][/tex]

Based on the detailed steps above, Danielle needs to walk at a speed of approximately 4.8 miles per hour in order to cover 4 miles in 50 minutes.

Thus, the correct answer is:
C. 4.8 miles per hour