Question

От двух пристаней одновременно навстречу друг другу отплыли два катера. Через 5 ч они встретились. С какой скоростью шел каждый катер, если скорость одного 32км,а расстояние между пристанями 440 км

Answer 1

1) 32 * 5 = 160 (км) - проплыл первый катер.
2) 440 - 160 = 280 (км) - проплыл второй катер.
3) 280 : 5 = 56 (км/ч) - скорость второго катера.

Ответ: один катер шёл со скоростью 32 км/ч, а другой со скоростью 56 км/ч

Answer 2

Problem Analysis

Two boats set sail from two different piers towards each other. After 5 hours, they meet. We need to determine the speed of each boat given that one boat's speed is 32 km/h and the distance between the piers is 440 km.

Solution

Let's assume the speed of the first boat is x km/h. Since the speed of the second boat is given as 32 km/h, we can calculate the time it takes for each boat to meet using the formula:

Time = Distance / Speed

For the first boat, the time taken to meet is 440 / x hours, and for the second boat, the time taken to meet is 440 / 32 hours.

Since they meet after 5 hours, we can set up the following equation:

440 / x + 440 / 32 = 5

To solve this equation, we can multiply both sides by 32x to eliminate the denominators:

32 * 440 + 440x = 5 * 32x

Simplifying the equation:

14080 + 440x = 160x

14080 = 160x - 440x

14080 = -280x

Dividing both sides by -280:

x = -14080 / -280

x = 50

Therefore, the speed of the first boat is 50 km/h and the speed of the second boat is 32 km/h.

Answer

The first boat was traveling at a speed of 50 km/h and the second boat was traveling at a speed of 32 km/h.