The problem requires calculating the average speed of an athlete over two laps around a track, each 402 meters long. To find the average speed, we first calculate the total distance covered and the total time taken.

Step 1: Calculate Total Distance
The athlete covers 402 meters in each lap. For two laps, the total distance is:

\[ \text{Total Distance} = 402 \, \text{m} + 402 \, \text{m} = 804 \, \text{m} \]

Step 2: Calculate Total Time
The first lap takes 134 seconds, and the second lap takes 67 seconds. Therefore, the total time is:

\[ \text{Total Time} = 134 \, \text{sec} + 67 \, \text{sec} = 201 \, \text{sec} \]

Step 3: Calculate Average Speed
The average speed is the total distance divided by the total time. Use the formula:

\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{804 \, \text{m}}{201 \, \text{sec}} \]

Calculating this gives:

\[ \text{Average Speed} = 4 \, \text{m/sec} \]

The average speed of the athlete is therefore 4 meters per second.