The train's speed is 45 miles per hour, calculated by dividing the change in distance (45 miles) by the change in time (1 hour) using the formula Speed = Distance/Time.
To find the speed of the train, you can use the formula:
![\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]](https://img.qammunity.org/2022/formulas/mathematics/high-school/pvg7te28273m2z82ihc6iukibwhxxi0het.png)
Given the data:
![\[ \text{Speed} = \frac{67.5 \, \text{miles} - 22.5 \, \text{miles}}{1.5 \, \text{hours} - 0.5 \, \text{hours}} \]\[ \text{Speed} = \frac{45 \, \text{miles}}{1 \, \text{hour}} \]](https://img.qammunity.org/2022/formulas/mathematics/high-school/hvfmbrn6yu1x8lviu5o9pxpdwqlcx4ciz5.png)
The speed of the train can be determined by dividing the change in distance by the change in time. In this case, the train traveled 45 miles in the span of 1 hour, resulting in a constant speed of 45 miles per hour. This calculation utilizes the formula: Speed = Distance / Time.
Therefore, the speed of the train is 45 miles per hour. The train travels at a constant speed of 45mph.
The complete question is:
A conductor maps a trip and records the distance the train travels over certain time intervals.
time (hours) Distance (miles)
0.5 22.5
1 45
1.5 67.5
The train travels at a constant speed. What is its speed?