The boat sails the distance between two villages on the banks of the river, 3 hours upstream and 2 hours 20

The boat sails the distance between two villages on the banks of the river, 3 hours upstream and 2 hours 20 minutes along the river. The speed of the river is 3 km / h. What is the boat’s own speed?

To solve this problem, you need to create and solve an equation. Take the boat’s own speed as X, then the speed of the boat downstream is X + 3, against – X-3. The boat sailed against the current for 3 hours or 180 minutes, with the current – 140 minutes. The distance that the boat sailed against is 180 * (X-3), 140 * (X + 3). Since these distances are equal, the following equation can be drawn up:
180 * (X-3) = 140 * (X + 3);
180 * X-540 = 140 * X + 420;
40 * X = 960;
X = 24 km / h – boat speed.
Answer: 24 km / h is the boat’s own speed.



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