The boat traveled along the river in 2 hours the same distance as it travels in 2 hours 15

The boat traveled along the river in 2 hours the same distance as it travels in 2 hours 15 minutes against the current. The speed of the river is 3 km / h. Find your own boat speed.

Let’s solve this problem using the equation.

Let the speed of the boat’s own speed be x kilometers per hour. Then the boat passed along the river in 2 hours 2 * (x + 3) kilometers, and against the current – 2.25 * (x – 3) kilometers. We know that the boat traveled the same distance downstream as upstream. Let’s make the equation:

2 * (x + 3) = 2.25 * (x – 3);

2 * x + 2 * 3 = 2.25 * x – 2.25 * 3;

2 * x + 6 = 2.25 * x – 6.75;

6 + 6.75 = 2.25 * x – 2 * x;

12.75 = 0.25 * x;

x = 12.75: 0.25;

x = 51 kilometers per hour – the boat’s own speed.

Answer: 51 kilometers per hour.