50 seconds
Recall the equation
d=rt
Distance = rates times time.
We have a single distance, 400m
We have two different rates 1 1/3 m/s and 1.6 m/s
Let's calculate the time for each rate
t = d/r
t = 400/(1 1/3) = 300 seconds
t = 400/1.6 = 250 seconds
By increasing his average speed, Alex will reduce his time by
300-250 = 50 seconds.