A2. Ana and Meta are traveling from the village of Zabukovje to the village of Zahrastje, Ana on a bicycle and Meta in a car. Ana is traveling at a constant speed of $30 \mathrm{~km} / \mathrm{h}$, and Meta at a constant speed of $70 \mathrm{~km} / \mathrm{h}$. When Meta arrives in Zahrastje, she stays there for $1 \mathrm{~h}$, and then travels back to Zabukovje at the same speed of $70 \mathrm{~km} / \mathrm{h}$. On her way back, she meets Ana $105 \mathrm{~km}$ from Zahrastje. How many kilometers is the distance between the two villages Zabukovje and Zahrastje?
(A) 262.5
(B) 300
(C) 315
(D) 345
(E) 375
A2. Let $x$ be the distance that Ana traveled to the meeting with Meta. Then Meta traveled $x+2 \cdot 105 \mathrm{~km}$ to the meeting with Ana. If we express the time that passed until the meeting from Ana's and Meta's perspectives in hours, we get

$$
\frac{x}{30}=\frac{x+2 \cdot 105}{70}+1
$$

from which it follows that $x=210$ km. The distance between Zabukovje and Zahrastje is $210+105=$ $315 \mathrm{~km}$.