Розв'язати задачу. 3 пункту А до пункту В автомобіль їхав по шосе 210км, а повертався назад
грунтовою дорогою завдовжки 160км, витративши назворотній шлях на 1 годину більше, ніж на шлях з пункту А до пункту В. Швидкість з якою їхав автомобіль грунтовою дорогою, на30км/год менше, ніж його швидкість по шосе. Знадіть швидкість авто по шосе та по грунтовій дорозі.В відповідь запишіть сумарний час руху автомобіля.Ответы на вопрос
Ответ:скорость по шоссе 70 по грунту 40 , суммарное время 7 год
Объяснение:
To solve this problem, we need to find the speed of the car on the highway and on the dirt road, as well as the total travel time of the car.
Let's assume the speed of the car on the highway is x km/h. Since the speed on the dirt road is 30 km/h less than the speed on the highway, the speed on the dirt road would be (x - 30) km/h.
We are given that the distance from point A to point B on the highway is 210 km, and the distance from point B back to point A on the dirt road is 160 km. We also know that the car took 1 hour longer to travel back from point B to point A compared to the time it took to travel from point A to point B.
Let's calculate the time it took for the car to travel from point A to point B on the highway. We can use the formula time = distance / speed. Therefore, the time taken on the highway is 210 / x hours.
Now, let's calculate the time it took for the car to travel from point B to point A on the dirt road. Since the car took 1 hour longer on the dirt road, the time taken on the dirt road is 160 / (x - 30) + 1 hours.
The total travel time of the car is the sum of the time taken on the highway and the time taken on the dirt road. Therefore, the total travel time is:
210 / x + 160 / (x - 30) + 1 hours.
To solve this equation, we can find a common denominator and simplify the expression. However, since the equation involves variables, it is not possible to find a specific numerical solution without additional information.
Please provide any additional information if available, or let me know if you have any other questions.
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