Izasha Jenson (290546) Stone Coast Academy Traveling at 65 miles per hour, approximately how long will it take for Marcus to drive 310 miles?
A. Between 2 and 3 hours
B. Between 3 and 4 hours
C. Between 4 and 5 hours
D. Between 5 and 6 hours
The correct answer and explanation is:
To determine how long it will take Marcus to drive 310 miles at a speed of 65 miles per hour, you need to use the basic formula for time, which is: Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}
Given that Marcus will drive 310 miles at a speed of 65 miles per hour, the calculation would be: Time=310 miles65 miles per hour=4.77 hours\text{Time} = \frac{310 \text{ miles}}{65 \text{ miles per hour}} = 4.77 \text{ hours}
This result suggests that it will take Marcus approximately 4.77 hours to drive 310 miles.
Now, let’s analyze the options:
- Option A: Between 2 and 3 hours – This is incorrect because 4.77 hours is much longer than this range.
- Option B: Between 3 and 4 hours – This is also incorrect since 4.77 hours is slightly above 4 hours.
- Option C: Between 4 and 5 hours – This is correct because 4.77 hours falls within this range.
- Option D: Between 5 and 6 hours – This is incorrect as it is longer than the calculated time of 4.77 hours.
Thus, the correct answer is C: Between 4 and 5 hours.
Explanation:
The time it takes to travel a certain distance is directly proportional to both the distance traveled and the speed at which the vehicle is moving. When a vehicle travels at a constant speed, the time to cover a given distance can be calculated easily using the time formula. In this case, Marcus is traveling a relatively long distance of 310 miles, and at a relatively high speed of 65 miles per hour, so the travel time is just under 5 hours.