Final answer:
Kevin will take 2 minutes to paddle one-third of the way across the lake.
Step-by-step explanation:
To find out how much time it will take for Kevin to paddle one-third of the way across the lake, we need to calculate the distance he needs to travel. One-third of 420 meters is 140 meters. Since Kevin is moving at a constant velocity of 70 meters per minute, we can use the equation speed = distance/time to find the time it will take Kevin to paddle one-third of the way.
70 = 140/time. Solving for time, we divide both sides of the equation by 70: time = 140/70 = 2 minutes.
Therefore, it will take Kevin 2 minutes to paddle one-third of the way across the lake.