Question

Путешественник переплыл море на яхте со средней скоростью 22 км/ч. Обратно он летел на спортивном самолете со скоростью 462 км/ч. Найдите среднюю скорость путешественника на протяжении всего пути. Ответ дайте в км/ч.

Answer 1

Calculation of Average Speed

To find the average speed of the traveler throughout the entire journey, we need to calculate the total distance traveled and the total time taken.

Let's assume the distance of the sea crossing is 'd' kilometers.

The time taken to cross the sea at a speed of 22 km/h can be calculated using the formula:

Time taken to cross the sea = Distance / Speed

Therefore, the time taken to cross the sea is: d / 22 hours.

The time taken to fly back at a speed of 462 km/h can be calculated using the same formula:

Time taken to fly back = Distance / Speed

Therefore, the time taken to fly back is: d / 462 hours.

The total time taken for the entire journey is the sum of the time taken to cross the sea and the time taken to fly back:

Total time taken = (d / 22) + (d / 462) hours.

The total distance traveled for the entire journey is the sum of the distance crossed while sailing and flying back:

Total distance = d + d = 2d kilometers.

Finally, we can calculate the average speed of the traveler using the formula:

Average speed = Total distance / Total time taken

Substituting the values, we get:

Average speed = (2d) / [(d / 22) + (d / 462)] km/h.

To simplify the equation, we can find the common denominator and combine the fractions:

Average speed = (2d * 22 * 462) / [(d * 462) + (d * 22)] km/h.

Simplifying further:

Average speed = (2 * 22 * 462) / (462 + 22) km/h.

Now, let's calculate the average speed.