Answer : Average distance is 10 m.
Explanation :
It is given that,
Average velocity of the wave,
![v=2.5\ m/s](https://img.qammunity.org/2020/formulas/physics/college/l51rbu5zyw2t2b4tebncgsl9x0hrrsqeab.png)
Time,
![T=4\ s](https://img.qammunity.org/2020/formulas/physics/college/6da04n8kis0k94082tghuenc2wj7ycruk0.png)
So, frequency
![\\u=(1)/(T)=(1)/(4)\ Hz](https://img.qammunity.org/2020/formulas/physics/college/dijyka8dy1j3rto0eaykub65g9l5xels3h.png)
We know that the average distance between the wave peaks is called as wavelength.
The relation between the wavelength, frequency and the time period is :
![\lambda=(v)/(\\u)](https://img.qammunity.org/2020/formulas/physics/middle-school/ai2o95wapgsecy4nyt8q08kr7jdmrhfkvr.png)
![\lambda=(2.5\ m/s)/((1)/(4\ s))](https://img.qammunity.org/2020/formulas/physics/college/rv9qxrgd0mx1hmpm660wp6ro8yxfmh4pot.png)
![\lambda=10\ m](https://img.qammunity.org/2020/formulas/physics/college/r66mn6br62wgnv2l1yht5jkxynqkepuzvh.png)
So, the average distance between the wave peaks is 10 m.