how many cars are there in a long freight train, if it takes the entire train 4.50 minutes to pass a station at 25.0 miles per hour? Each car is 45.0 feet long. There are 5280.0 feet in a mile.
(4.50/60 * 25.0 * 5280)/45.0 = 220 cars
To find the number of cars in the long freight train, we need to determine the time it takes for a single car to pass the station. Then, we can divide the total time for the entire train to pass by this single car's time to get the number of cars.
First, let's convert the speed from miles per hour to feet per minute. We know that there are 5280.0 feet in a mile, so to convert miles per hour to feet per minute, we multiply the speed by 5280.0 feet and then divide by 60 minutes:
25.0 miles/hour * (5280.0 feet/mile) / 60 minutes = 2200.0 feet/minute
The speed of the train in feet per minute is 2200.0 feet/minute.
Next, we need to find the time it takes for a single car to pass the station. We already know that each car is 45.0 feet long, so we can calculate the time it takes for a car to pass by dividing the length of a car by the speed of the train:
Time for a single car to pass = 45.0 feet / 2200.0 feet/minute = 0.0205 minutes
Now, we can find the number of cars in the entire train by dividing the total time for the train to pass the station (4.50 minutes) by the time it takes for a single car to pass:
Number of cars = 4.50 minutes / 0.0205 minutes = 219.5 cars
Since we can't have a fraction of a car, we need to round down to the nearest whole number. Therefore, there are approximately 219 cars in the long freight train.