If a train travels between two stations that are 1/2 miles apart at an average speed of 30 mph, how long does the trip take?

To determine how long the trip takes, we can use the relationship between distance, speed, and time, which can be expressed with the formula:

Time = Distance / Speed.

In this scenario, the distance between the two stations is 1/2 mile, and the average speed of the train is 30 miles per hour (mph).

Substituting the values into the formula, we have:

Time = (1/2 mile) / (30 miles/hour).

This simplifies to:

Time = 1/2 * 1/30 hours, which is equal to 1/60 hours.

To convert this time into minutes, we know that there are 60 minutes in an hour, so we multiply by 60:

(1/60 hours) * 60 minutes/hour = 1 minute.

Thus, the train takes 1 minute to travel between the two stations at the given speed. This calculation shows why the correct answer is 1 minute, clearly illustrating how distance and speed work together to determine travel time.