Question

Растояние между городами 165,5 километров. первый параход плывёт со скоростью 24,5 км/ч. Второй на встречу ему со скоростью 28,5 км/ч. Через сколько они встретятся, если скорость течения 2,5 км/ч?

Answer 1

Пусть первый пароход идет по течению реки. тогда его общая скорость будет равна
24,5+2,5=27 км/ч
а второй пароход идет против течения и его общая скорость будет равна
28,5-2,5=26 км/ч
найдем скорость сближения
27+26=53 км/ч
найдем время их встречи
165,5:53=3,1 ч = 3 ч 6 мин

Answer 2

Calculation of Meeting Time

To calculate the time it takes for the two ships to meet, we need to consider their speeds and the speed of the current. Let's break down the problem:

- Distance between the cities: 165.5 kilometers - Speed of the first ship: 24.5 km/h - Speed of the second ship: 28.5 km/h - Speed of the current: 2.5 km/h

To find the meeting time, we can use the formula:

Meeting Time = Distance / Relative Speed

The relative speed is the difference between the speeds of the two ships, taking into account the direction they are moving. In this case, since the second ship is moving towards the first ship, we subtract the speed of the first ship from the speed of the second ship:

Relative Speed = Speed of the Second Ship - Speed of the First Ship

Let's calculate the meeting time using the given values:

Relative Speed = 28.5 km/h - 24.5 km/h = 4 km/h

Meeting Time = 165.5 km / 4 km/h = 41.375 hours

Therefore, the two ships will meet after approximately 41.375 hours.

Please note that the meeting time is an approximation and may not account for factors such as changes in speed or direction during the journey.