30 miles in 5 hours.. What is the rate? What is the unit rate? What is the mph ?
The Correct Answer and Explanation is :
To determine the rate at which someone is traveling, you can use the formula for speed, which is:
[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} ]
In this case, the distance is 30 miles and the time is 5 hours. Plugging in these values:
[ \text{Speed} = \frac{30 \text{ miles}}{5 \text{ hours}} = 6 \text{ mph} ]
Unit Rate
The term “unit rate” refers to the rate per one unit of measure—in this case, per hour. Since we have already calculated the speed as 6 miles per hour (mph), this means the unit rate is also 6 mph. This indicates that for every hour traveled, the person covers 6 miles.
Understanding mph
Miles per hour (mph) is a common unit of speed used primarily in the United States and the United Kingdom to indicate the number of miles traveled in one hour. It provides a clear understanding of how quickly someone is moving. Knowing that the person in this scenario travels at a speed of 6 mph gives us an idea of their pace.
To put this into context, if the person continued at this constant speed, they would cover:
- 12 miles in 2 hours
- 18 miles in 3 hours
- 24 miles in 4 hours
- 30 miles in 5 hours
This consistent rate can be essential for planning travel times. For instance, if someone needed to travel 60 miles, at 6 mph, they would expect the journey to take approximately 10 hours.
Overall, understanding rate, unit rate, and mph helps in various real-life scenarios, from estimating travel times to planning logistics.