Question

the total distance covered by two runners during the first 28 minutes of a race are shown in the graph below.
how long after the start of the race did one runner pass the other?

• 3 minutes
• 8 minutes
• 12 minutes
• 14 minutes
• 28 minutes

Explanation:

Identify the intersection point of the two curves

$$ \text{Intersection point: } (t, d) = (14, 3) $$

Determine the time value corresponding to the intersection

$$ t = 14 \text{ minutes} $$

Answer:

• 3 minutes
• 8 minutes
• 12 minutes
• 14 minutes (Correct answer)
• 28 minutes