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19 Jun 2025, 05:20
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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A car begins at Point A traveling 30 miles per hour. The car decreases its speed by 5 miles per hour every 10 minutes until the car comes to a complete stop.
Quantity A
The total number of miles traveled between Point A and the final stopping point
Quantity B
The average speed of the car in miles per hour between Point A and the final stopping point
Quantity A
The total number of miles traveled between Point A and the final stopping point
Quantity B
The average speed of the car in miles per hour between Point A and the final stopping point
22 Jun 2025, 11:59
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OE
It’s important to realize that the total distance need not be calculated to compare the two quantities. For this question, let d represent the total distance, in miles, traveled. Quantity A will thus be equal to d.
Quantity B is the average speed for the entire trip. The average speed, in miles per hour, is calculated by taking the total mileage (d) and dividing that by the total number of hours. The car starts at 30 miles per hour and slows down 5 miles per hour every 10 minutes. That means it will travel first at 30 miles per hour, then 25 miles per hour, then 20, then 15, then 10, then 5. After that, it will stop. It will travel for 10 minutes at each of those 6 speeds, for a total of 60 minutes, which is 1 hour. That means the average speed will be equal to \(\frac{d}{1}=d\). Regardless of the value of d (which could be calculated, but would only take up valuable time for this question), the two quantities are equal. That makes (C) the correct answer.
Answer: C
It’s important to realize that the total distance need not be calculated to compare the two quantities. For this question, let d represent the total distance, in miles, traveled. Quantity A will thus be equal to d.
Quantity B is the average speed for the entire trip. The average speed, in miles per hour, is calculated by taking the total mileage (d) and dividing that by the total number of hours. The car starts at 30 miles per hour and slows down 5 miles per hour every 10 minutes. That means it will travel first at 30 miles per hour, then 25 miles per hour, then 20, then 15, then 10, then 5. After that, it will stop. It will travel for 10 minutes at each of those 6 speeds, for a total of 60 minutes, which is 1 hour. That means the average speed will be equal to \(\frac{d}{1}=d\). Regardless of the value of d (which could be calculated, but would only take up valuable time for this question), the two quantities are equal. That makes (C) the correct answer.
Answer: C
