
Решение текстовых задач с помощью уравнений. Урок 4 Из пункта А по течению реки плыла лодка со
скоростью 8 км/ч. Через 1 час 15 минут с этого места против течения реки начал двигаться катер со скоростью 18 км/ч. Через 1 час 45 минут после Отправления лодки их расстояние составило 29,5 км. Найди скорость течения реки. BILINI Сагс

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Ответ:
господи благослави мою



Solving the River Problem Using Equations
To solve the problem of finding the speed of the river, we can use the following equations:
1. Distance = Speed × Time 2. Speed of boat downstream = Speed of boat + Speed of river 3. Speed of boat upstream = Speed of boat - Speed of river
Let's proceed with solving the problem step by step.
Given Information
- Speed of the boat downstream (with the river) = 8 km/h - Speed of the boat upstream (against the river) = 18 km/h - Time taken for the boat and the motorboat to meet = 1 hour 45 minutes = 1.75 hours - Distance traveled when they met = 29.5 kmCalculating the Speed of the River
Let's denote the speed of the river as R.Using the given information and the equations mentioned earlier, we can set up the following equations:
1. Equation 1: Distance traveled by the boat when the motorboat started = (8 km/h) × (1.25 hours) 2. Equation 2: Distance traveled by the motorboat when they met = (18 km/h) × (1.75 hours) 3. Equation 3: Total distance traveled when they met = Distance traveled by the boat + Distance traveled by the motorboat
By solving these equations, we can find the speed of the river.
Solution
1. Using Equation 1: Distance traveled by the boat when the motorboat started = (8 km/h) × (1.25 hours) = 10 km 2. Using Equation 2: Distance traveled by the motorboat when they met = (18 km/h) × (1.75 hours) = 31.5 km 3. Using Equation 3: Total distance traveled when they met = 10 km + 31.5 km = 41.5 kmNow, we can calculate the speed of the river using the total distance traveled when they met: - Total distance traveled = Distance traveled by the boat + Distance traveled by the motorboat - 41.5 km = (8 km/h) × (1.25 hours) + (18 km/h) × (1.75 hours) - 41.5 km = 10 km + 31.5 km - 41.5 km = 41.5 km
This means that the speed of the river is 0 km/h.
Conclusion
Based on the given information and the calculations, the speed of the river is 0 km/h. This result indicates that there is no speed of the river, which may indicate a potential issue with the given information or the problem setup.If you have any further questions or need additional assistance, feel free to ask!


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