The boat sails along the river at a speed of 2 km / h. From point A to point B he swam in 6 hours.

The boat sails along the river at a speed of 2 km / h. From point A to point B he swam in 6 hours. Back from point B to point A he swam 7 hours against the stream of the river. Find your own speed of the boat?

Let x km / h be the boat’s own speed. Then the boat moves downstream of the river at a speed of (x + 2) km / h, and upstream – (x – 2) km / h. Using the found values, we compose an equation and find the boat’s own speed:

7.5 * (x – 2) = 6 * (x + 2),

7.5x – 15 = 6x + 12,

7.5x – 6x = 12 + 15,

1.5x = 27,

x = 27 / 1.5,

x = 18 km / h.

Answer: the boat’s own speed is 18 kilometers per hour.