Question

Поезд проходит мимо светофора за 5 секунд, а мимо платформы длиной 150 м за 15 сек. Найдите длину поезда и его скорость.

Answer 1

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Answer 2

Problem Analysis

We are given that a train passes a traffic light in 5 seconds and a platform with a length of 150 meters in 15 seconds. We need to find the length of the train and its speed.

Solution

Let's assume the length of the train is L meters and its speed is V meters per second.

To find the length of the train, we can use the formula:

L = V × t

where t is the time it takes for the train to pass a stationary point.

We are given that the train passes the traffic light in 5 seconds, so we can write:

L = V × 5 Similarly, we can find the speed of the train using the formula:

V = S / t

where S is the distance traveled by the train and t is the time it takes to cover that distance.

We are given that the train passes a platform with a length of 150 meters in 15 seconds, so we can write:

V = 150 / 15 Now we can solve these two equations to find the length of the train and its speed.

Calculation

Substituting the value of V from the second equation into the first equation, we get:

L = (150 / 15) × 5

Simplifying the expression, we have:

L = 10 × 5

L = 50 meters

So, the length of the train is 50 meters.

Substituting the value of L into the second equation, we get:

V = 150 / 15

Simplifying the expression, we have:

V = 10 meters per second

So, the speed of the train is 10 meters per second.

Answer

The length of the train is 50 meters and its speed is 10 meters per second.

Please let me know if I can help you with anything else.