The boat goes upstream of the river at a speed of 12 km / h, and downstream
| May 3, 2021 | education
The boat goes upstream of the river at a speed of 12 km / h, and downstream at a speed of 18 km / h. What is the speed of the river?
Speed of the boat along the river:
V ‘= V1 + V2, where V is the speed of movement along the current (V = 18 km / h), V1 is the boat’s own speed, V2 is the speed of the river.
V2 = V ‘- V1.
Speed of the boat against the current of the river:
V ” = V1 – V2, where V is the speed of the boat against the current (V = 12 km / h).
V2 = V1 – V ”.
Boat speed:
V ‘- V1 = V1 – V’ ‘.
V ‘+ V’ ‘= 2V1.
V1 = (18 + 12) / 2 = 30/2 = 15 km / h.
Current speed:
V2 = V ‘- V1 = 18 – 15 = 3 km / h.
Answer: The speed of the river is 3 km / h.
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