Two bodies move uniformly, on two intersecting straight lines at right angles, towards the point of intersection; the speed of one is $3 \mathrm{~m}$ per $\mathrm{mp}$, the other's is $4 \mathrm{~m}$. The distance between the two bodies is initially $20 \mathrm{~m}$, but after $2 \mathrm{mp}$ it is only $10 \mathrm{~m}$. How far is each body from the intersection point at the beginning?
If the initial distances of the two bodies from the right angle vertex were $x$ and $y$, then

$$
\begin{gathered}
x^{2}+y^{2}=400 \\
(x-6)^{2}+(y-8)^{2}=100
\end{gathered}
$$

From these two equations, $x=12 \mathrm{~m}$ and $y=16 \mathrm{~m}$.

Number of solutions: 61.