Question

Поїзд за 10 сек. проходить повз стовп,а за 2 сек. через міст довжиною 300 метрів.Знайти швидкість поїзда і його довжину.

Answer 1

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Answer 2

Problem Analysis

We are given that a train passes a pole in 10 seconds and a bridge of length 300 meters in 2 seconds. We need to find the speed of the train and its length.

Solution

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

To find the speed of the train, we can use the formula: Speed = Distance / Time

From the given information, we know that the train passes the pole in 10 seconds and the bridge in 2 seconds. Therefore, we can write two equations:

Equation 1: L = V * 10 (since the train passes the pole in 10 seconds)

Equation 2: L + 300 = V * 2 (since the train passes the bridge in 2 seconds and the length of the bridge is 300 meters)

We can solve these two equations simultaneously to find the values of L and V.

Solving the Equations

Let's solve the equations using substitution:

From Equation 1, we can express V in terms of L: V = L / 10

Substituting this value of V in Equation 2, we get: L + 300 = (L / 10) * 2

Simplifying the equation: L + 300 = L / 5

Multiplying both sides of the equation by 5: 5L + 1500 = L

Subtracting L from both sides of the equation: 4L = -1500

Dividing both sides of the equation by 4: L = -375

Since the length of the train cannot be negative, we can conclude that there is an error in the given information or the problem statement.

Conclusion

Based on the given information, it is not possible to determine the speed and length of the train. The given information may contain errors or inconsistencies. Please double-check the information provided or provide additional details for further analysis.