Given:
1- At the beginning person A speed is same as person B. That is VA = VB
2 - Velocity of walking speed = 1m/s
3- It takes person B 35 seconds less to walk the 210 meters, tB = tA -35 s
Solution:
Find tB knowing that the speed of the sidewalk is constant 1m/s meaning that acceleration is = 0
tB= x / VB , tB = (210 m / 1 m/s) = 210 s
Find tA , tA = tB+35 s = 210 s + 35 s = 245 s
Person A has a constant speed on the stationary sidewalk VA = x / tA, VA = 210 m/ 245 s = 0.86 m/s
Please note that this solution is valid only if the walking speed of person B when he goes on the moving sidewalk is < the moving sidewalk speed, which is the assumption made and proven that person A and person B speeds at the beginning are equal to 0.86 m/s < the sidewalk speed of 1 m/s