2. Metka stands $60 \mathrm{~m}$ east and $80 \mathrm{~m}$ south of the point where Tine is standing. Both are equally distant from a linden tree in the city park, which is directly east of the point where Tine is. At the same time, each sets off directly towards the linden tree from their respective positions. How many meters will each of them walk until they meet under the linden tree?
I/2. If Metka and Tine are equally distant from the linden tree, then $60+x=\sqrt{80^{2}+x^{2}}$. If we square both sides of the equation and then rearrange it, we get $120 x=2800$, from which we can express $x=$ $\frac{70}{3} \mathrm{~m}$. Each of them will have walked $83 \frac{1}{3} \mathrm{~m}$ to the meeting point.