The distance along the river between points A and B is equal to 84 km. From these points at the same time 2

| January 15, 2021 | education

The distance along the river between points A and B is equal to 84 km. From these points at the same time 2 motor boats came out to meet each other, their own speeds differ by 1.8 times. After 3 hours they met. Find your own boat speeds.

1. Since the distance between the piers and the time of movement is known, you can find out the speed of the approach of the boats:
84/3 = 28 km / h.
2. Let x km / h be the speed of the first motor boat. Therefore, the speed of the second boat is 1.8 * x km / h.
3. Since the speed of approach of the boats is known, therefore, the equation can be drawn up:
1.8 * x + x = 28;
2.8 * x = 28;
0.1 * x = 10;
x = 100.
The speed of the first boat is 100 km / h, the speed of the second boat is 1.8 * 100 = 180 km / h.
Answer: 100 km / h, 180 km / h.



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