Question

Пароход ,двигаясь против течения со скоростью 14 км/ч, проходит расстояние между двумя пристанями за 5ч.За какое время он пройдет то же расстояние по течению,если его скорость в этом случае равна 19,4 км/ч?Время выразить в секундах

Answer 1

V1=14 км/ч     t1=5 ч     v2=19.4 км/ч    t2=?
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s=v1*t1=v2*t2
t2=v1*t1/v2=14*5/19.4≈3.6 ч   (≈13000 с)
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Answer 2

Given Data

The steamship travels against the current at a speed of 14 km/h and covers the distance between two piers in 5 hours.

Calculating Time to Cover the Same Distance with the Current

To calculate the time it takes for the steamship to cover the same distance with the current, we can use the formula: \[ t = \frac{d}{v} \] where: - \( t \) = time - \( d \) = distance - \( v \) = speed

Using the given speed of 19.4 km/h, we can calculate the time it takes to cover the same distance with the current.

\[ t = \frac{d}{v} = \frac{d}{19.4} \]

Converting Time to Seconds

To convert the time to seconds, we can use the conversion factor: 1 hour = 3600 seconds.

Let's calculate the time in seconds.

Calculation

Using the given information, we can calculate the time it takes for the steamship to cover the same distance with the current and then convert it to seconds.

\[ t = \frac{d}{v} = \frac{d}{19.4} \]

Given that the distance is covered in 5 hours when traveling against the current at 14 km/h, we can calculate the distance using the formula: \[ d = v \times t \]

Substituting the values: \[ d = 14 \times 5 = 70 \text{ km} \]

Now, we can calculate the time it takes to cover the same distance with the current: \[ t = \frac{70}{19.4} \]

\[ t \approx 3.608 \text{ hours} \]

Converting the time to seconds: \[ \text{Time in seconds} = 3.608 \times 3600 \]

The time it takes for the steamship to cover the same distance with the current, at a speed of 19.4 km/h, is approximately 12989 seconds.