Question

Задача повышенной сложности. Дам 35 баллов.Человек поднимался вверх по эскалатору, и насчитал 45 ступеней. После, он спускался против эскалатора, и насчитал 225 ступеней. Сколько ступеней насчитает человек поднимаясь или спускаясь по не движущемуся эскалатору?

Answer 1

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Answer 2

Problem Analysis

The problem states that a person counted 45 steps while going up an escalator and 225 steps while going down against the escalator. We need to determine the total number of steps the person would count while going up or down a non-moving escalator.

Solution

To solve this problem, we need to consider the relative motion between the person and the escalator. When the person is going up the escalator, their motion is combined with the motion of the escalator, resulting in fewer steps being counted. Conversely, when the person is going down against the escalator, their motion is subtracted from the motion of the escalator, resulting in more steps being counted.

Let's denote the total number of steps on the non-moving escalator as x. When the person is going up, they count 45 steps, which means the escalator contributes x - 45 steps to their motion. When the person is going down against the escalator, they count 225 steps, which means the escalator subtracts x + 225 steps from their motion.

To find the value of x, we can set up the following equation:

(x - 45) = (x + 225)

Simplifying the equation:

x - 45 = x + 225

Subtracting x from both sides:

-45 = 225

This equation has no solution, which means there is no value of x that satisfies both conditions. Therefore, it is not possible to determine the total number of steps on the non-moving escalator based on the given information.

Conclusion

Based on the information provided, it is not possible to determine the total number of steps on the non-moving escalator. The problem does not provide enough information to solve for the value of x.