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Naira paddled 4.5 km with the current in the same amount of time as it took her to paddle 3 km against the current. Naira paddled at an average rate of 5 kmh relative to the water each way. Assume the speed of the current was constant.

What was the speed of the current?

Respuesta :

xero099

The speed of the current is 25 kilometers per hour.

What is the speed of the current?

According to the statement, Naira traveled first with the current and later against the current, both in the same amount of time. We assume that both the speed of the current and the speed of the vehicle are constant. Hence, the travel time can be expanded to the following expression:

s₁ / (v + v') = s₂ / (v - v')

Where:

  • s₁ - Distance traveled with the current, in kilometers.
  • s₂ - Distance traveled against the current, in kilometers.
  • v - Speed of the current, in kilometers per hour.
  • v' - Speed of the vehicle relative to the current, in kilometers per hour.

If we know that s₁ = 4.5 km, s₂ = 3 km, v' = 5 km /h, then the speed of the current is:

4.5 / (v + 5) = 3 / (v - 5)

4.5 · (v - 5) = 3 · (v + 5)

4.5 · v - 22.5 = 3 · v + 15

1.5 · v = 37.5

v = 25

The speed of the current is 25 kilometers per hour.

To learn more on relative speeds: https://brainly.com/question/14362959

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