Question

A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to find the time it will take for the distance between the train and the railroad marker to be 4 miles, where h represents the time in hours?

Answer 1

To calculate the time it will take for the train to be 4 miles away from the marker, you can use the equation 196 = 65h. After solving for h, it is found that the train will take approximately 3.02 hours.

Step-by-step explanation:

The student is asking for an equation to find the time it will take for a train moving at 65 miles per hour to cover the distance that would leave it only 4 miles away from a railroad marker that is currently 200 miles away. To solve for the time (h), we can use the basic formula for distance, which is:

Distance = Speed × Time.

The train has to cover a distance of (200 - 4) miles to be 4 miles away from the marker. Using the given speed of the train (65 miles/hour), we can set up the equation:

196 = 65h

Divide both sides by 65 to solve for h:

h = 196 / 65

h = 3.01538...

So, it will take the train approximately 3.02 hours to be 4 miles away from the railroad marker.