Question

the graph below represents the speeds of kael and lynn as they run around a track.
for how many minutes did lynn run at a greater speed than kael?
12
17
23
28

Explanation:

Step1: Identify speed overlap intervals

First, find time ranges where Lynn's speed > Kael's speed:

1. 0 to 12 minutes: Kael's speed is higher (his line is above Lynn's).
2. 12 to 28 minutes: Lynn's speed is higher (her line is above Kael's).
3. 28 to 40 minutes: Kael's speed is higher (his line is above Lynn's until they both hit 0).

Step2: Calculate duration of Lynn's lead

Subtract the start and end times of the interval where Lynn is faster:
$\text{Duration} = 28 - 12 = 17$

Answer:

17