A man travel a certain distance at a rate of 20 miles an hour and returns at the rate of 30 miles an hour. What is his average speed?
To calculate the average speed of a man who travels a certain distance at a rate of 20 miles an hour and returns at the rate of 30 miles an hour, we can use the following formula:
Average speed = 2 * (Distance traveled) / (Total time taken)
We know that the distance traveled in both directions is the same. Let the distance traveled be d miles.
The total time taken is equal to the time taken to travel d miles at a rate of 20 miles an hour plus the time taken to travel d miles at a rate of 30 miles an hour.
Total time taken = d / 20 + d / 30 = 5d / 60 hours
Substituting the given values in the formula for average speed, we get:
Average speed = 2 * d / (5d / 60) = 24 miles per hour
Therefore, the average speed of the man is 24 miles per hour.
So the answer is 24
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