The distance from point A to point B, the motor boat sailed along the river for 1.3 hours, and from point B

| August 7, 2021 | education

The distance from point A to point B, the motor boat sailed along the river for 1.3 hours, and from point B to point to point A-1.9. The speed of the river is 2.4 km / h. Find your own speed of the motor boat.

Let’s denote the boat’s own speed by the letter x. Since the speed of the river is 2.4 km / h, the speed of the boat downstream will be (x + 2.4) km / h, and the speed of the boat against the stream will be (x – 2.4) km / h.

Let us express the distance that the boat traveled from A to B: 1.3 * (x + 2.4).

Let us express the distance that the boat traveled from B to A: 1.9 * (x – 2.4).

Since the distance from A to B and from B to A is the same distance, the equation is:

1.9 * (x – 2.4) = 1.3 * (x + 2.4);

1.9x – 4.56 = 1.3x + 3.12;

1.9x – 1.3x = 4.56 + 3.12;

0.6x = 7.68;

x = 7.68: 0.6 = 76.8: 6 = 12.8 (km / h).

Answer: the boat’s own speed is 12.8 km / h.



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