
Скоростной поезд отошёл в 8:02 и двигался со скоростью 79 км/ч. Второй вышел из пункта В на час
поже и его скорость составила 72 км/ч. Когда первый прибыл второй был на 114 км. Определите в каком часу первый поезд достиг пункта В. И определитерастояние между пунктами А и Б .

Ответы на вопрос




Problem Analysis
We are given the following information: - The first train departed at 8:02 and traveled at a speed of 79 km/h. - The second train departed from point B one hour later and traveled at a speed of 72 km/h. - When the first train arrived at point B, the second train was 114 km away.We need to determine: 1. The time at which the first train reached point B. 2. The distance between points A and B.
Solution
Let's solve the problem step by step.1. Calculate the time it took for the first train to reach point B. - We know that the second train departed one hour later than the first train. - So, the first train traveled for one hour less than the second train. - Let's denote the time taken by the first train as 't' hours. - The time taken by the second train is 't + 1' hours. - We can use the formula: distance = speed × time to calculate the distance traveled by each train. - The distance traveled by the first train is 79t km. - The distance traveled by the second train is 72(t + 1) km. - We know that when the first train arrived at point B, the second train was 114 km away. - So, we can write the equation: 79t + 114 = 72(t + 1). - Solving this equation will give us the value of 't'.
2. Calculate the time at which the first train reached point B. - Once we have the value of 't', we can calculate the time at which the first train reached point B. - We know that the first train departed at 8:02. - So, the time at which the first train reached point B will be 8:02 + 't' hours.
3. Calculate the distance between points A and B. - We know that the distance traveled by the first train is 79t km. - So, the distance between points A and B is 79t km.
Let's calculate the values step by step.
Calculation
1. Calculate the time it took for the first train to reach point B. - Let's solve the equation: 79t + 114 = 72(t + 1). - Simplifying the equation, we get: 79t + 114 = 72t + 72. - Subtracting 72t from both sides, we get: 7t + 114 = 72. - Subtracting 114 from both sides, we get: 7t = -42. - Dividing both sides by 7, we get: t = -6. - Since time cannot be negative, there seems to be an error in the given information or calculation. Please double-check the values provided.2. Calculate the time at which the first train reached point B. - Since we couldn't calculate the value of 't', we cannot determine the time at which the first train reached point B.
3. Calculate the distance between points A and B. - Since we couldn't calculate the value of 't', we cannot determine the distance between points A and B.
Conclusion
Unfortunately, we couldn't calculate the time at which the first train reached point B or the distance between points A and B due to an error in the given information or calculation. Please double-check the values provided.

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