The speed of a boat sailing along the river is 6 m / s relative to the bank. Determine the speed of the current if the speed

univerkov | December 29, 2020 | education

The speed of a boat sailing along the river is 6 m / s relative to the bank. Determine the speed of the current if the speed of the boat in still water is 2 times the speed of the current.

Let the flow velocity be x (m / s)
To find the speed of a boat in a river, add the boat’s own speed (in still water) and the speed of the river:
V = Vboat + Vcurrent
By condition, the speed of the boat in still water is 2 times the speed of the current, that is:
V = 2x + x = 6
We solve the equation:
2x + x = 6
3x = 6
x = 6: 3
x = 2 (m / s) -speed of the river
Answer: 2 m / s

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