The speed of a motor boat downstream of the river is 30 km / h and against the current of 26 km / h find the speed of the river.
| June 20, 2021 | education
1. Let the speed of the river flow be X km / h, and the boat’s own speed Y km / h.
2. Taking into account the condition of the task and point 1, we compose the equations X + Y = 30 and Y – X = 26.
3. So X = 30 – Y.
4. Substitute the value of X in the second equality, we get Y – 30 + Y = 26.
5.2Y = 56 and Y = 56: 2 = 28.
6. So X = 30 – 28 = 2.
7. Answer: the speed of the river is 2 km / h.
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