Final answer:
Gina took approximately 47.06 seconds to complete the first lap and 51.94 seconds to complete the second lap, assuming a standard 400-meter track length and her speed of 8.5 m/s for the first lap.
Step-by-step explanation:
Calculating Time for Each Lap
To determine how long it took Gina to run each lap around the track, we need to use the information provided about her speed for the first lap and the total time for both laps. Gina's speed for the first lap is 8.5 meters per second (m/s). The length of the track is not given, but typical track lengths for a lap are 400 meters. This standard length will be assumed for this solution. To calculate the time for the first lap, we can apply the formula:
Time = Distance / Speed
If Gina's speed is 8.5 m/s and one lap is 400 meters:
Time for the first lap = 400 m / 8.5 m/s = 47.06 seconds (approximately)
Since the total time for both laps is 99 seconds, the time for the second lap is:
Time for the second lap = Total time - Time for the first lap
Time for the second lap = 99 seconds - 47.06 seconds = 51.94 seconds (approximately)
Therefore, Gina took approximately 47.06 seconds to complete the first lap and 51.94 seconds to complete the second lap.