
Помогите решить задачу!) из пунктов А и В навстречу друг другу вышли двое туристов, причем скорость
первого – на 1 км/час больше скорости второго. Туристы встретились через 3,5 часа. Найдите скорость второго туриста

Ответы на вопрос




Problem Analysis
We are given that two tourists are walking towards each other. The speed of the first tourist is 1 km/h faster than the speed of the second tourist. They meet after 3.5 hours. We need to find the speed of the second tourist.Solution
Let's assume the speed of the second tourist is x km/h. Then the speed of the first tourist would be x + 1 km/h.We can use the formula distance = speed × time to solve this problem. The distance covered by the first tourist in 3.5 hours would be (x + 1) × 3.5 km, and the distance covered by the second tourist in 3.5 hours would be x × 3.5 km.
Since they are walking towards each other, the sum of their distances should be equal to the total distance between them, which is 0 km (since they meet). Therefore, we can set up the following equation:
(x + 1) × 3.5 + x × 3.5 = 0
Simplifying the equation, we get:
3.5x + 3.5 + 3.5x = 0
Combining like terms, we have:
7x + 3.5 = 0
Subtracting 3.5 from both sides, we get:
7x = -3.5
Dividing both sides by 7, we find:
x = -0.5
Since speed cannot be negative, we can ignore the negative value. Therefore, the speed of the second tourist is 0.5 km/h.
Answer
The speed of the second tourist is 0.5 km/h.

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