A 1200 meter long train crosses a tree in 120 seconds. How much time will it take to pass a platform 700 meter long?

To determine how long it will take the train to pass a platform 700 meters long, we first need to find the speed of the train.

Given:
- Length of the train = 1200 meters
- Time taken to cross a tree = 120 seconds

First, we calculate the speed of the train:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
\[ \text{Speed} = \frac{1200 \text{ meters}}{120 \text{ seconds}} = 10 \text{ meters per second} \]

Next, we need to determine the time it takes for the train to pass a platform that is 700 meters long. When passing a platform, the train must cover a distance equal to the sum of its own length and the length of the platform.

Total distance to be covered:
\[ \text{Total distance} = \text{Length of train} + \text{Length of platform} \]
\[ \text{Total distance} = 1200 \text{ meters} + 700 \text{ meters} = 1900 \text{ meters} \]

Now, we calculate the time taken to cover this distance at the train's speed:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
\[ \text{Time} = \frac{1900 \text{ meters}}{10 \text{ meters per second}} = 190 \text{ seconds} \]

Therefore, the train will take 190 seconds to pass the platform.

Would you like more details or have any questions? Here are some related questions:

1. How do you calculate the speed of an object?
2. What is the relationship between distance, speed, and time?
3. How does the length of the platform affect the time taken for the train to pass it?
4. Can you explain the steps to solve similar problems involving relative motion?
5. How would the time change if the speed of the train increased?
6. What are some real-world applications of these calculations?
7. How can you use these principles to solve problems involving multiple trains?
8. What are the common units used in speed, distance, and time calculations?

**Tip:** Always ensure the units of measurement are consistent when performing calculations involving speed, distance, and time.

Learn how to calculate the time required for a train to pass a platform based on its speed and the lengths involved. This problem involves applying the formulas for speed, distance, and time. Suitable for students in Grades 7-9.

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