Question

От двух пристаней находящихся на расстояние 560 км друг от друга отплыли одновременно навстречу друг другу баржа и катер через сколько часов они встретились если скорость баржи 25 км час а скорость катера 45 км час с условием задачи

Answer 1

25+45= 70 км/ч (общая скорость катера и баржи)
560/70 = 8 (час) - встретятся через 8 часов

Answer 2

Problem Analysis

We are given that a barge and a motorboat depart from two different ports simultaneously and travel towards each other. The distance between the ports is 560 km. The speed of the barge is 25 km/h, and the speed of the motorboat is 45 km/h. We need to determine how many hours it takes for them to meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for the barge and the motorboat to meet.

The distance traveled by the barge can be calculated as follows: distance_barge = speed_barge * time.

Similarly, the distance traveled by the motorboat can be calculated as: distance_motorboat = speed_motorboat * time.

Since the barge and the motorboat are traveling towards each other, the sum of their distances should be equal to the total distance between the ports: distance_barge + distance_motorboat = 560 km.

Substituting the expressions for the distances, we get: speed_barge * time + speed_motorboat * time = 560 km.

We can solve this equation to find the value of time.

Let's calculate the time it takes for the barge and the motorboat to meet.

Calculation

Let's substitute the given values into the equation and solve for time:

25 km/h * time + 45 km/h * time = 560 km

Simplifying the equation:

70 km/h * time = 560 km

Dividing both sides of the equation by 70 km/h:

time = 560 km / 70 km/h

Calculating the value of time:

time = 8 hours

Therefore, it takes 8 hours for the barge and the motorboat to meet.

Answer

The barge and the motorboat will meet after 8 hours.