Question

ежедневно Андрей спускается в метро по эскалатору. если он сбегает на одну ступень в секунду то спускается за 96 секунд а если на две ступени в секунду то за 60 секунд. за какое время спустится Андрей если будет стоять неподвижно ​

Answer 1

Ответ:

Пошаговое объяснение:

скорость эскалатора = х

скорость одна ступенька в секунду = у

S - путь эскалатора

тогда запишем уравнения для двух случаев

S = (x+y)*96

S = (x+2*y)*60

S/96 - x = y

S/120 - x/2 = y

приравняем относительно скорости y

S/96 - x = S/120 - x/2

0.5x = S/384

отсюда скорость самого эскалатора

x = S / 192

найдем время

t = S / x = S / (S/192) = 192 c

Answer 2

Calculation of Time to Descend the Escalator

To calculate the time it takes for Andrey to descend the escalator while standing still, we need to determine his speed of descent when he runs on the escalator.

Let's assume that the total number of steps on the escalator is x.

According to the given information: - If Andrey runs down one step per second, he takes 96 seconds to descend the escalator. - If Andrey runs down two steps per second, he takes 60 seconds to descend the escalator.

Let's calculate Andrey's speed of descent in steps per second:

- When Andrey runs down one step per second, he covers x steps in 96 seconds. Therefore, his speed is x/96 steps per second. - When Andrey runs down two steps per second, he covers x steps in 60 seconds. Therefore, his speed is x/60 steps per second.

Now, let's calculate the time it takes for Andrey to descend the escalator while standing still:

Since Andrey is not moving, his speed of descent is zero steps per second. Let's denote this as 0 steps/second.

To find the time it takes for Andrey to descend the escalator while standing still, we can set up the following equation:

x/96 = 0

Solving for x, we find that x = 0.

Therefore, if Andrey stands still, it will take him 0 seconds to descend the escalator.

Please note that the given information does not provide the total number of steps on the escalator, so we cannot determine the exact time it takes for Andrey to descend the escalator while standing still.