To find the average speed of the relay team, we can use the formula for speed:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
In this case, the distance is 400 meters and the time is 36 seconds. Plugging in the values:
\[ \text{Speed} = \frac{400 \text{ meters}}{36 \text{ seconds}} \approx 11.1111 \text{ meters per second} \]
Rounding this to the nearest tenth of a meter per second gives us:
\[ 11.1 \text{ meters per second} \]
Therefore, the average speed of the running relay team is 11.1 meters per second.