Question

Эскалатор метро поднимает неподвижно стоящего на нем пассажира в течение 42 секунд. По неподвижному эскалатору пассажир мог бы подняться за 1,5 минуту. За какое время поднимается пассажир по движущемуся эскалатору? (Ответ записать в с).

Answer 1

Ответ:29 с

Объяснение:

Answer 2

Calculation of Time to Ascend on a Moving Escalator

To calculate the time it takes for a passenger to ascend on a moving escalator, we need to compare the time it takes for the escalator to lift a stationary passenger with the time it would take for the passenger to ascend on a stationary escalator.

Given: - Time taken by the escalator to lift a stationary passenger: 42 seconds - Time it would take for the passenger to ascend on a stationary escalator: 1.5 minutes

We need to find the time it takes for the passenger to ascend on a moving escalator.

Let's assume: - Time taken for the passenger to ascend on a moving escalator: t seconds

To solve this problem, we can use the concept of relative velocity. The relative velocity of the passenger with respect to the escalator is the difference between their individual velocities.

When the passenger is stationary on the escalator, their velocity is zero. When the passenger is ascending on a stationary escalator, their velocity is the distance traveled divided by the time taken.

Let's assume: - Velocity of the passenger: v - Velocity of the escalator: e

The relative velocity of the passenger with respect to the escalator is given by: v - e

Since the passenger is ascending on a moving escalator, their relative velocity is positive.

We can set up the following equation to solve for t:

Distance traveled by the passenger = Relative velocity × Time taken

The distance traveled by the passenger is the same in both cases (ascending on a stationary escalator and ascending on a moving escalator).

Let's calculate the time it takes for the passenger to ascend on a moving escalator.

Calculation:

Distance traveled by the passenger = Relative velocity × Time taken

Since the distance traveled is the same in both cases, we can set up the following equation:

0.025 km = (v - e) × t

Now, let's substitute the given values:

0.025 km = (v - e) × t

We need to convert the time taken for the passenger to ascend on a stationary escalator from minutes to seconds:

1.5 minutes = 1.5 × 60 seconds = 90 seconds

Substituting this value into the equation:

0.025 km = (v - e) × 90 seconds

Now, we can solve for t:

t = 0.025 km / (v - e) × 90 seconds

Therefore, the time it takes for the passenger to ascend on a moving escalator is 0.025 km / (v - e) × 90 seconds.

Please note that the specific values for the velocity of the passenger and the escalator were not provided in the question. Without these values, we cannot calculate the exact time it takes for the passenger to ascend on a moving escalator.