Select the correct answerA man walks with 3 kmph speed in the direction of a train. How much time will a 500 m long train take to overtake him at a speed of 63 kmph?Options30 sec20 sec40 secnone
Question
Select the correct answerA man walks with 3 kmph speed in the direction of a train. How much time will a 500 m long train take to overtake him at a speed of 63 kmph?Options30 sec20 sec40 secnone
Solution
To solve this problem, we first need to convert the speeds from km/h to m/s because the length of the train is given in meters and we need to find the time in seconds.
1 km/h = 5/18 m/s
So, the speed of the man = 3 km/h = 3 * (5/18) = 5/6 m/s And, the speed of the train = 63 km/h = 63 * (5/18) = 175/6 m/s
The relative speed of the train with respect to the man = Speed of train - Speed of man = (175/6 - 5/6) m/s = 170/6 m/s = 85/3 m/s
The time taken to overtake the man = Distance / Speed = 500 m / (85/3) m/s = 500 * 3 / 85 = 600 / 17 seconds ≈ 35.29 seconds
So, the correct answer is 'none' as 35.29 seconds is not listed in the options.
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