Olympic swimmer michael swam at an average speed of 2.01m/s during the first half of the time needed to complete a race. what is his average swimming speed during the second half of the race if he tied the record which was at an average speed of 2.05m/s?

Here average speed for given motion is defined as ratio of total distance covered by total time

so here we can say

here total distance can be calculated by formula

distance = speed * time

here given that its average speed is v = 2.05 m/s

for first half let the time is "t " seconds and the speed for that is 2.01 m/s

and for next half time will be same and it is "t " seconds again

so by plug in all data in above equation we have

so its speed for next half must be 2.09 m/s