How is the headway calculated if twenty ten-car trains and ten eight-car trains pass a point in one hour?

To calculate the headway in this scenario, you first need to determine the total number of cars represented by the trains passing a point in one hour.

Start by calculating the total number of cars for each type of train:

• For the twenty ten-car trains: 20 trains multiplied by 10 cars per train equals 200 cars.
• For the ten eight-car trains: 10 trains multiplied by 8 cars per train equals 80 cars.

Adding these two totals gives you the overall number of cars: 200 + 80 = 280 cars.

Next, since these trains pass the point over the duration of one hour, you can calculate the total number of trains:

• There are a total of 20 ten-car trains plus 10 eight-car trains, which equals 30 total trains.

Now, to find the headway, you need to determine how often a train passes that point, measured in minutes. Since there are 60 minutes in an hour, you divide the total time by the number of trains:

60 minutes divided by 30 trains equals 2 minutes.

Thus, the headway is calculated to be 2 minutes, which indicates that on average, a train passes that point every 2 minutes. This makes