Final answer:
The kayak takes approximately 4.59 hours to travel around the whole lake.
Step-by-step explanation:
To determine how long it takes for the kayak to travel around the whole lake, we need to calculate the time using the average speed and the perimeter of the lake.
The kayak's average speed is given as 30.5 m/minute. The perimeter of the lake is given as 8400 m. To find the time, we divide the perimeter by the average speed:
Time = Perimeter / Average speed = 8400 m / 30.5 m/minute = 275.41 minutes.
To convert this time to hours, we divide by 60:
Time = 275.41 minutes / 60 minutes/hour ≈ 4.59 hours.
Therefore, it takes approximately 4.59 hours for the kayak to travel around the whole lake.