3.32 For the transportation of cargo from one place to another, a certain number of trucks of the same capacity were required. Due to road damage, each truck had to be loaded with 0.5 tons less than planned, which is why 4 additional trucks of the same capacity were required. The mass of the transported cargo was no less than 55 tons but did not exceed 64 tons. How many tons of cargo were transported on each truck?
3.32 Let the mass of the transported cargo be $x$ tons, and the number of trucks be $n$. According to the problem,

$$
x=\left(\frac{x}{n}-\frac{1}{2}\right)(n+4), \text { or } n^{2}+4 n-8 x=0
$$

from which $n=2(-1+\sqrt{1+2 x})$ ( $n$ - natural). In the interval $55<x<64$, only $x=60$ fits. Then $n=2(-1+11)=20$. Therefore, there were 24 trucks, and on each of them, they loaded $60: 24=2.5$ tons.

Answer: $\quad 2.5 \mathbf{~}$.