Question

путешественник 3 часа ехал на автобусе и 3 часа ехал на поезде,преодолев за это время путь в 390 километров.найдите скорость автобуса,если она в 3 раза меньше скорости поезда?Пожалуйста,помогите!

Answer 1

x - скорость автобуса

3x - скорость поезда

3x+3*3x=390

3x+9x=390

12x=390

x=32,5

Ответ: скорость автобуса - 32,5 км/ч

Answer 2

Problem Analysis

A traveler spent 3 hours on a bus and 3 hours on a train, covering a total distance of 390 kilometers. We need to find the speed of the bus, given that it is three times slower than the speed of the train.

Solution

Let's assume the speed of the train is x kilometers per hour. According to the problem, the speed of the bus is three times slower than the speed of the train, so the speed of the bus is x/3 kilometers per hour.

To find the speed of the bus, we can use the formula:

Speed = Distance / Time

For the bus, the distance is 390 kilometers and the time is 3 hours. Plugging these values into the formula, we get:

x/3 = 390 / 3

Simplifying the equation, we have:

x = 390

Therefore, the speed of the train is 390 kilometers per hour, and the speed of the bus is 390/3 = 130 kilometers per hour.

Answer

The speed of the bus is 130 kilometers per hour.

Verification

To verify the answer, we can substitute the values back into the original equation and check if it holds true.

The speed of the bus is three times slower than the speed of the train, which is 390 kilometers per hour. Therefore, the speed of the bus is 390/3 = 130 kilometers per hour.

The bus traveled for 3 hours, so the distance covered by the bus is 130 * 3 = 390 kilometers.

The total distance covered by the traveler is 390 kilometers, which matches the given information.

Therefore, the answer is verified to be correct.

Conclusion

The speed of the bus is 130 kilometers per hour, given that the traveler spent 3 hours on the bus and 3 hours on the train, covering a total distance of 390 kilometers.