Question

От двух пристаней навстречу друг другу одновременно вышли теплоход и катер. Теплоход двигался со скоростью 33 км/ч и прошел до встречи 99 км. Скорость катера 25 км/ч. Найти расстояние между городами?

Answer 1

99:33=3 ч - прошли теплоход и катер до места встречи.
25*3=75 км - прошел катер до места встречи.
99+75=174 км - расстояние между городами.

Answer 2

Problem Analysis

We are given that a ship and a boat set off from two different ports towards each other simultaneously. The ship travels at a speed of 33 km/h and covers a distance of 99 km before they meet. The boat travels at a speed of 25 km/h. We need to find the distance between the two cities.

Solution

To find the distance between the two cities, we can use the formula:

Distance = Speed x Time

Let's assume that the time taken for the ship and the boat to meet is 't' hours.

The ship travels at a speed of 33 km/h, so the distance it covers in 't' hours is 33t km.

Similarly, the boat travels at a speed of 25 km/h, so the distance it covers in 't' hours is 25t km.

Since the ship and the boat are traveling towards each other, the sum of the distances covered by both of them should be equal to the total distance between the two cities.

Therefore, we can write the equation:

33t + 25t = 99

Simplifying the equation:

58t = 99

Solving for 't':

t = 99 / 58

Now, we can substitute the value of 't' back into one of the distance formulas to find the distance between the two cities.

Let's use the distance covered by the ship:

Distance = Speed x Time = 33 x (99 / 58)

Calculating the distance:

Distance = 33 x (99 / 58) = 56.93 km

Therefore, the distance between the two cities is approximately 56.93 km.

Answer

The distance between the two cities is approximately 56.93 km.