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A jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 meters long train . The train is running at 45 kmph in the same direction. how much time does it take for the train to pass the jogger?
  • a)
    46
  • b)
    36
  • c)
    18
  • d)
    22
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A jogger is running at 9 kmph alongside a railway track in 240 meters ...
Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.
= (36 x 5/18)m/sec
= 10 m/sec.
Distance to be covered = (240 + 120) m = 360 m.
Time taken = 360/10
= 36 sec.
 
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Community Answer
A jogger is running at 9 kmph alongside a railway track in 240 meters ...
To solve this problem, we need to find the time it takes for the train to pass the jogger. We can do this by calculating the time it takes for the train to cover the distance between the jogger and itself.

Given data:
- Speed of the jogger = 9 km/h
- Speed of the train = 45 km/h
- Distance between the jogger and the engine of the train = 240 meters
- Length of the train = 120 meters

Finding the relative speed:
Since the jogger and the train are moving in the same direction, we need to find the relative speed between them. We can do this by subtracting the speed of the jogger from the speed of the train.

Relative speed = Speed of the train - Speed of the jogger
Relative speed = 45 km/h - 9 km/h
Relative speed = 36 km/h

Converting the relative speed to meters per second:
To make the units consistent, we convert the relative speed from km/h to m/s.

Relative speed = 36 km/h * (1000 m/1 km) * (1 h/3600 s)
Relative speed = 10 m/s

Finding the time it takes for the train to cover the distance:
To find the time it takes for the train to cover the distance between the jogger and itself, we divide the distance by the relative speed.

Time = Distance / Relative speed
Time = (240 m + 120 m) / 10 m/s
Time = 360 m / 10 m/s
Time = 36 s

Therefore, it takes 36 seconds for the train to pass the jogger. Hence, the correct answer is option B.
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A jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 meters long train . The train is running at 45 kmph in the same direction. how much time does it take for the train to pass the jogger?a)46b)36c)18d)22Correct answer is option 'B'. Can you explain this answer?
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