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A 250 meters long train crosses a bridge 750 meters long in 20 seconds and crosses a platform in 15 seconds. Find the length of the platform.
- a)350 m
- b)450 m
- c)500 m
- d)800 m
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A 250 meters long train crosses a bridge 750 meters long in 20 second...
To solve this problem, we can use the concept of relative speed. Let's break down the given information and steps to solve the problem.
Given information:
- Length of the train = 250 meters
- Length of the bridge = 750 meters
- Time taken to cross the bridge = 20 seconds
- Time taken to cross the platform = 15 seconds
Step 1: Find the speed of the train
To find the speed of the train, we need to calculate the distance covered by the train in a given time.
Distance = Speed × Time
For crossing the bridge:
Distance = Length of the train + Length of the bridge
Speed = Distance / Time = (250 + 750) meters / 20 seconds = 1000 meters / 20 seconds = 50 meters per second
For crossing the platform:
Distance = Length of the train + Length of the platform
Speed = Distance / Time = (250 + Length of the platform) meters / 15 seconds
Step 2: Calculate the length of the platform
Since the train is crossing the same length of the train during both the bridge and platform crossing, we can equate the speeds for both cases.
50 meters per second = (250 + Length of the platform) meters / 15 seconds
Cross multiplying, we get:
50 * 15 = 250 + Length of the platform
750 = 250 + Length of the platform
Length of the platform = 750 - 250 = 500 meters
Therefore, the length of the platform is 500 meters. Hence, option (c) is the correct answer.
Given information:
- Length of the train = 250 meters
- Length of the bridge = 750 meters
- Time taken to cross the bridge = 20 seconds
- Time taken to cross the platform = 15 seconds
Step 1: Find the speed of the train
To find the speed of the train, we need to calculate the distance covered by the train in a given time.
Distance = Speed × Time
For crossing the bridge:
Distance = Length of the train + Length of the bridge
Speed = Distance / Time = (250 + 750) meters / 20 seconds = 1000 meters / 20 seconds = 50 meters per second
For crossing the platform:
Distance = Length of the train + Length of the platform
Speed = Distance / Time = (250 + Length of the platform) meters / 15 seconds
Step 2: Calculate the length of the platform
Since the train is crossing the same length of the train during both the bridge and platform crossing, we can equate the speeds for both cases.
50 meters per second = (250 + Length of the platform) meters / 15 seconds
Cross multiplying, we get:
50 * 15 = 250 + Length of the platform
750 = 250 + Length of the platform
Length of the platform = 750 - 250 = 500 meters
Therefore, the length of the platform is 500 meters. Hence, option (c) is the correct answer.
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Community Answer
A 250 meters long train crosses a bridge 750 meters long in 20 second...
Given
A 250 meters long train crosses a bridge 750 meters long in 20 seconds
And crosses a platform in 15 seconds.
Distance = Speed × Time
Let the speed of the train be S
And let the length of the platform be x
According to the question,
250 + 750 = S × 20
⇒ S = 1000 / 20
⇒ 50 m/sec
Now, Again according to the question
The train crosses the platform in 15 seconds
250 + x = 50 × 15
⇒ x = 750 - 250
⇒ x = 500 m
∴ The length of the platform is 500 m.
Hence, the correct option is (C).
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A 250 meters long train crosses a bridge 750 meters long in 20 seconds and crosses a platform in 15 seconds. Find the length of the platform.a)350 mb)450 mc)500 md)800 mCorrect answer is option 'C'. Can you explain this answer?
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