A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip with empty cars. What is the train's average speed for the entire trip

The train's average speed for the entire trip is equal to 25 mph.

Given the following data:

To determine the train's average speed for the entire trip:

First of all, we would find the total distance and total time for the trip respectively.

For total distance:

Total distance = 50 miles

For total time:

Total time = 1 hour

Mathematically, average speed is given by the formula:

Average speed = 25 mph.

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24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex