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The Hadleys took a car trip to visit re...

The Hadleys took a car trip to visit relatives . Mr. Hadley drove for 2 hours and covered 100 miles . For the last 60 miles , the teenage son, Hank , drove . He took 1 hour to complete this leg of the trip. What was the average speed (arithmetic mean) , in miles per hour , for the trip ?

A

50

B

`53 1/3`

C

55

D

`56 2/3`

Text Solution

AI Generated Solution

The correct Answer is:
To find the average speed for the trip taken by the Hadleys, we can follow these steps: ### Step 1: Determine the total distance traveled. Mr. Hadley drove for 2 hours and covered 100 miles, and Hank drove the last 60 miles. Total distance = Distance driven by Mr. Hadley + Distance driven by Hank Total distance = 100 miles + 60 miles = 160 miles ### Step 2: Determine the total time taken for the trip. Mr. Hadley drove for 2 hours, and Hank drove for 1 hour. Total time = Time driven by Mr. Hadley + Time driven by Hank Total time = 2 hours + 1 hour = 3 hours ### Step 3: Calculate the average speed. Average speed is calculated using the formula: Average speed = Total distance / Total time Substituting the values we found: Average speed = 160 miles / 3 hours ### Step 4: Perform the division to find the average speed. Calculating the division: Average speed = 160 / 3 ≈ 53.33 miles per hour ### Conclusion: The average speed for the trip is approximately 53.33 miles per hour. ---
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