What is the average headway in minutes if seven eight-car trains and eight ten-car trains pass a point on a certain track in one hour?

To find the average headway in minutes, we first need to determine the total number of trains passing a point within the given timeframe. We have seven eight-car trains and eight ten-car trains. This provides a total of 15 trains, as you simply add the two quantities together.

Next, we examine the time frame of one hour, which is 60 minutes. The average headway is calculated by dividing the total time available (60 minutes) by the number of trains (15).

When you perform the calculation, you get:

60 minutes / 15 trains = 4 minutes

This means that on average, there is 4 minutes between the passing of each train at the specified point. Therefore, the average headway, which refers to the time interval between consecutive trains passing a designated point, is correctly identified as 4 minutes.