Final answer:
Sage will take 1.6 minutes to get to the gate by walking on the moving sidewalk.
Step-by-step explanation:
To determine how much time it will take Sage to get to the gate by walking on the moving sidewalk, we need to calculate their overall walking speed. If standing on the moving sidewalk takes 4 minutes to cover a distance of 800 feet, we can calculate the speed of the sidewalk by dividing the distance by the time: 800 feet/4 minutes = 200 feet per minute.
To find the total speed of Sage while walking on the sidewalk, we add his walking speed of 300 feet per minute with the speed of the moving sidewalk: 300 feet per minute + 200 feet per minute = 500 feet per minute.
Now, we can determine the time it will take Sage to walk on the moving sidewalk by dividing the distance of 800 feet by the total walking speed of 500 feet per minute: 800 feet/500 feet per minute = 1.6 minutes.