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A 300-meter-long train passes a 450-meter-long platform in 5 sec. If a man is walking at a speed of 4 m/sec along the track and the train is 100 m away from him, how much time will it take to reach the man?
- a)More than 3 secs
- b)More than 2 secs
- c)Less than 1 sec
- d)More than 5 sec
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A 300-meter-long train passes a 450-meter-long platform in 5 sec. If ...
Let's break down the problem step by step:
Given data:
- Length of the train = 300 meters
- Length of the platform = 450 meters
- Time taken by the train to pass the platform = 5 seconds
- Speed of the man = 4 m/s
- Distance between the man and the train = 100 meters
Step 1: Calculate the relative speed of the train and the platform
The total distance covered by the train to pass the platform is the sum of the lengths of the train and the platform. So, the total distance covered by the train is 300 + 450 = 750 meters.
The time taken by the train to cover this distance is 5 seconds.
Therefore, the speed of the train relative to the platform is given by:
Relative speed = Distance / Time = 750 / 5 = 150 m/s
Step 2: Calculate the time taken by the train to cover the distance between the man and the train
The distance between the man and the train is 100 meters. The train is moving at a speed of 150 m/s relative to the platform.
Therefore, the time taken by the train to cover this distance is:
Time = Distance / Speed = 100 / 150 = 2/3 seconds
Step 3: Compare the time taken by the train to cover the distance between the man and the train with the given options
The time taken by the train to cover the distance between the man and the train is 2/3 seconds.
Among the given options:
a) More than 3 secs
b) More than 2 secs
c) Less than 1 sec
d) More than 5 secs
The correct answer is option c) Less than 1 sec, as 2/3 seconds is less than 1 second.
Therefore, the time taken by the train to reach the man is less than 1 second.
Given data:
- Length of the train = 300 meters
- Length of the platform = 450 meters
- Time taken by the train to pass the platform = 5 seconds
- Speed of the man = 4 m/s
- Distance between the man and the train = 100 meters
Step 1: Calculate the relative speed of the train and the platform
The total distance covered by the train to pass the platform is the sum of the lengths of the train and the platform. So, the total distance covered by the train is 300 + 450 = 750 meters.
The time taken by the train to cover this distance is 5 seconds.
Therefore, the speed of the train relative to the platform is given by:
Relative speed = Distance / Time = 750 / 5 = 150 m/s
Step 2: Calculate the time taken by the train to cover the distance between the man and the train
The distance between the man and the train is 100 meters. The train is moving at a speed of 150 m/s relative to the platform.
Therefore, the time taken by the train to cover this distance is:
Time = Distance / Speed = 100 / 150 = 2/3 seconds
Step 3: Compare the time taken by the train to cover the distance between the man and the train with the given options
The time taken by the train to cover the distance between the man and the train is 2/3 seconds.
Among the given options:
a) More than 3 secs
b) More than 2 secs
c) Less than 1 sec
d) More than 5 secs
The correct answer is option c) Less than 1 sec, as 2/3 seconds is less than 1 second.
Therefore, the time taken by the train to reach the man is less than 1 second.
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Community Answer
A 300-meter-long train passes a 450-meter-long platform in 5 sec. If ...
The train can cover (300 + 450) m distance in 5 sec.
The speed of the train = 150 m/sec
Relative speed of the man and the train is 154 m/sec or 146 m/sec
To cover the distance of 100 m, in either of the case, it will take less than 1 second.
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A 300-meter-long train passes a 450-meter-long platform in 5 sec. If a man is walking at a speed of 4 m/sec along the track and the train is 100 m away from him, how much time will it take to reach the man?a)More than 3 secsb)More than 2 secsc)Less than 1 secd)More than 5 secCorrect answer is option 'C'. Can you explain this answer?
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