Find the average speed with which a ship travels on a straight course, 100 mi long if its speed during the first 50 mi is 25 mi/hr and during the second 50 mi, is 75 mi/hr
Answer:
To find the average speed of the ship over the entire 100-mile journey, we can use the formula:
average speed = total distance / total time
We know that the total distance is 100 miles. To find the total time, we need to know the time taken for each part of the journey.
For the first 50 miles of the journey, the ship’s speed was 25 miles per hour. Therefore, the time taken for the first 50 miles is:
time = distance / speed
time = 50 miles / 25 miles per hour
time = 2 hours
For the second 50 miles of the journey, the ship’s speed was 75 miles per hour. Therefore, the time taken for the second 50 miles is:
time = distance / speed
time = 50 miles / 75 miles per hour
time = 0.67 hours
The total time taken for the entire journey is the sum of the time taken for the first 50 miles and the time taken for the second 50 miles:
total time = 2 hours + 0.67 hours
total time = 2.67 hours
Now we can calculate the average speed of the ship:
average speed = total distance / total time
average speed = 100 miles / 2.67 hours
average speed = 37.45 miles per hour
Therefore, the average speed of the ship over the entire 100-mile journey is 37.45 miles per hour
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