Question

A train travels at an average speed of 70 miles per hour for one hour.

It stops at a station for a half hour. Then the train travels at an average
speed of 60 miles per hour for another hour.

Answer 1

The average speed of the train can be calculated by dividing the total distance traveled by the total time taken. In this case, the train travels 40 miles in the first hour at an average speed of 70 miles per hour, and then travels another 40 miles in the second hour at an average speed of 60 miles per hour. Thus, the total distance traveled is 80 miles. The total time taken is 1 hour for the first leg of the journey and another hour for the second leg. The train also stops at a station for half an hour. So, the total time taken is 1 hour + 0.5 hour + 1 hour = 2.5 hours. Now, we can calculate the average speed using the formula: average speed = total distance / total time = 80 miles / 2.5 hours = 32 miles per hour.

Step-by-step explanation:

The average speed of the train can be calculated by dividing the total distance traveled by the total time taken.

In this case, the train travels 40 miles in the first hour at an average speed of 70 miles per hour, and then travels another 40 miles in the second hour at an average speed of 60 miles per hour. Thus, the total distance traveled is 80 miles.

The total time taken is 1 hour for the first leg of the journey and another hour for the second leg. The train also stops at a station for half an hour.

So, the total time taken is 1 hour + 0.5 hour + 1 hour = 2.5 hours.

Now, we can calculate the average speed using the formula: average speed = total distance / total time = 80 miles / 2.5 hours = 32 miles per hour.