Question

Lee is traveling by train to visit his grandmother. After 1 hour, he has 270 miles left to travel. After 2 hours, he has 180 miles remaining. The train travels at a constant rate for the entire trip. What is the speed of the train and the distance of the trip? Move numbers to the blanks to complete the sentences. The train is traveling at a speed of ____miles per hourThe distance of the train trip is ___ miles. 90 90 180 270 360 450

Answer 1

Answer:

• 90 miles per hour.

,

• 360 miles

Explanation:

After 1 hour, he has 270 miles left to travel.

After 2 hours, he has 180 miles remaining.

To determine the speed of the train, we find the rate of change.

$\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{270-180}{1-2} \\ =\frac{90}{-1} \\ =-90\text{ miles per hour} \end{gathered}$

The speed of the train is 90 miles per hour.

If the train travels 90 miles per hour, and after 1 hour, he has 270 miles to travel:

The distance of the train is:

$\begin{gathered} =270+90 \\ =360\text{ miles} \end{gathered}$