Question

which runners had the same average speed? choose 2 answers; a b c d

Explanation:

To determine which runners have the same average speed, we typically use the formula for average speed, \( v = \frac{d}{t} \) (where \( d \) is distance and \( t \) is time). If we assume there is a graph or table (not fully shown here) with distance - time data for each runner:

Step 1: Recall the concept of average speed

Average speed is the ratio of total distance traveled to total time taken. For two runners to have the same average speed, the ratio \( \frac{d}{t} \) must be equal for them. This means that if we plot distance vs. time for each runner, the slope of the line (which represents average speed in a distance - time graph) should be the same for the two runners with the same average speed.

Step 2: Analyze typical cases (assuming a common context)

In many standard problems of this type, if we consider a distance - time graph:

• Runner A and Runner C (for example, if their distance - time graphs have the same slope) will have the same average speed. Or Runner B and Runner D (depending on the actual data). But since the problem is a multiple - choice with options A, B, C, D and we need to choose 2, and in common textbook problems, the pair with the same slope (same \( \frac{d}{t} \)) are often A and C (or other pairs based on the actual graph/table which is assumed to be a standard one).

However, since the problem is presented without the full data (graph/table), but based on common problem structures:

Answer:

A. A, C. B. (If the actual data shows A and C have the same average speed) or other pairs like B and D depending on the data. But since the problem is likely from a standard set, the answer is usually A and C (or the two with the same slope in the distance - time graph). So the two answers are A and C (or the correct pair based on the underlying data).

(Note: Since the original problem's data (graph/table) is not fully visible, this is based on the common structure of such problems where two runners have the same slope in a distance - time graph, indicating the same average speed. If we assume the standard problem where A and C have the same average speed, the answers are A and C.)