A train engine of 400m long traveling at the speed of 40kmph. A man next to a railway track is walking at the speed of 5kmph in the opposite direction of the train. What is the time takes by the train to cross the man?Question 16Answera.32 secb.46 secc.60 secd.50 sec
Question
A train engine of 400m long traveling at the speed of 40kmph. A man next to a railway track is walking at the speed of 5kmph in the opposite direction of the train. What is the time takes by the train to cross the man?Question 16Answera.32 secb.46 secc.60 secd.50 sec
Solution
To solve this problem, we first need to convert all the measurements to the same units.
- Convert the length of the train from meters to kilometers: 400 meters = 0.4 kilometers
- Convert the speed of the train and the man from km/h to km/sec:
- For the train: 40 km/h = 40/3600 km/sec = 0.0111 km/sec
- For the man: 5 km/h = 5/3600 km/sec = 0.00139 km/sec
- Since the train and the man are moving in opposite directions, their relative speed is the sum of their individual speeds: 0.0111 km/sec + 0.00139 km/sec = 0.0125 km/sec
- The time it takes for the train to cross the man is the length of the train divided by their relative speed: 0.4 km / 0.0125 km/sec = 32 seconds
So, the answer is a. 32 seconds.
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