Let's assume that Shawn runs at a constant rate. We're given that Shawn runs 3/4 laps in the same time that he runs 2/3 laps.
Let's set up a proportion to solve for the time it takes for Shawn to complete 1 lap:
(3/4 laps) / (2/3 laps) = 1 lap / t
To simplify the equation, we can multiply both sides by the least common denominator (4 * 3 = 12):
(3/4) * (12/2) = 1 * (12/t)
9 = 12/t
To isolate t, we can cross multiply:
9t = 12
Divide both sides by 9 to solve for t:
t = 12/9
Simplifying the fraction:
t = 4/3
Therefore, it takes Shawn 4/3 units of time to complete 1 lap at his constant rate.