The boat covers the distance between points A and B, moving downstream, in 2 hours. On the way back

The boat covers the distance between points A and B, moving downstream, in 2 hours. On the way back, he spends 3 hours, moving at the same speed. What distance (S) does the boat cover on the route, and at what speed (vk) does it move if the current speed is 5 km / h?

Vk is the boat’s own speed;
(Vk + 5) km / h – speed along the river;
(Vk – 5) km / h – speed against the current;
Let’s make the equation:
(Vk + 5) 2 = (Vk – 5) 3;
2Vk + 10 = 3Vk – 15;
Vk = 25 km / h;
Distance covered by the boat:
S = (Vk + 5) 2 = (25 + 5) 2 = 50 km.
Answer: The boat covers the distance S = 50 km, with the speed Vk = 25 km / h.