An athlete can swim 1/2 mile every 1/3 hour.

what is the unit rate of the athlete?
show your work

To find the unit rate of the athlete, we divide the distance swam by the time taken.

Distance/Time = Unit Rate

Distance = 1/2 mile

Time = 1/3 hour

Unit Rate = (1/2)/(1/3) = 1.5 miles per hour

Therefore, the unit rate of the athlete is 1.5 miles per hour.