Multiple choice

State the following statement is True or False A train passes a station platform in $18$ seconds and a man standing on the platform in $10$ seconds. If the speed of the train is $36$ km/hr. Then the length of train is greater than the length of platform.(length of train be $100$ m)

  1. True

  2. False
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A Correct answer
Explanation

The train speed is 36 km/hr, which is 10 m/s. Passing a man in 10 seconds means the train length is 10 m/s * 10 s = 100 m. Passing a platform in 18 seconds means the total distance (train + platform) is 10 m/s * 18 s = 180 m, so the platform length is 80 m. Since 100 m > 80 m, the statement is true.

AI explanation

Converting the train's speed to meters per second gives 36 multiplied by 5/18, which equals 10 m/s. Using the time to pass the man, the train's length is 10 m/s multiplied by 10 s, totaling 100 m. Using the time to pass the platform, the combined length of the train and platform is 10 m/s multiplied by 18 s, totaling 180 m, meaning the platform is 80 m long. Because 100 m is greater than 80 m, the train's length is greater than the platform's length. The statement is True.

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