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A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?
- a)1777 m
- b)1822 m
- c)400 m
- d)1400 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A train traveling at 100 kmph overtakes a motorbike traveling at 64 km...
When a train overtakes another object such as a motorbike, whose length is negligible compared to the length of the train, then the distance traveled by the train while overtaking the motorbike is the same as the length of the train.
The length of the train = distance traveled by the train while overtaking the motorbike
= relative speed between the train and the motorbike * time taken
In this case, as both the objects i.e., the train and the motorbike are moving in the same direction, the relative speed between them = difference between their respective speeds = 100 - 64 = 36 kmph.
Distance traveled by the train while overtaking the motorbike = 36 kmph * 40 seconds.
The final answer is given in meters and the speed is given in kmph and the time in seconds.
So let us convert the given speed from kmph to m/sec.
1 kmph = 5/18 m/sec
Therefore, 36 kmph = 36 * 5 /18 = 10 m/sec.
Relative speed = 10 m/sec. Time taken = 40 seconds.
Therefore, distance traveled = 10 * 40 = 400 meters.
The length of the train = distance traveled by the train while overtaking the motorbike
= relative speed between the train and the motorbike * time taken
In this case, as both the objects i.e., the train and the motorbike are moving in the same direction, the relative speed between them = difference between their respective speeds = 100 - 64 = 36 kmph.
Distance traveled by the train while overtaking the motorbike = 36 kmph * 40 seconds.
The final answer is given in meters and the speed is given in kmph and the time in seconds.
So let us convert the given speed from kmph to m/sec.
1 kmph = 5/18 m/sec
Therefore, 36 kmph = 36 * 5 /18 = 10 m/sec.
Relative speed = 10 m/sec. Time taken = 40 seconds.
Therefore, distance traveled = 10 * 40 = 400 meters.
Most Upvoted Answer
A train traveling at 100 kmph overtakes a motorbike traveling at 64 km...
Given information:
- Speed of train = 100 kmph
- Speed of motorbike = 64 kmph
- Time taken to overtake = 40 seconds
Calculating relative speed:
- Relative speed = (100 - 64) kmph = 36 kmph
- Convert relative speed to m/s: 36 kmph = 10 m/s
Calculating distance covered in 40 seconds:
- Distance = Speed x Time
- Distance = 10 m/s x 40 s = 400 meters
Length of the train:
- The distance covered includes the length of the train and the motorbike
- Let's assume the length of the train is 'x' meters
- Distance covered by the train = Distance covered by motorbike + Length of the train
- 400 = 64 x (40/3600) + x
- 400 = 7.11 + x
- x = 392.89 meters
Therefore, the length of the train is approximately 400 meters (option 'C').
- Speed of train = 100 kmph
- Speed of motorbike = 64 kmph
- Time taken to overtake = 40 seconds
Calculating relative speed:
- Relative speed = (100 - 64) kmph = 36 kmph
- Convert relative speed to m/s: 36 kmph = 10 m/s
Calculating distance covered in 40 seconds:
- Distance = Speed x Time
- Distance = 10 m/s x 40 s = 400 meters
Length of the train:
- The distance covered includes the length of the train and the motorbike
- Let's assume the length of the train is 'x' meters
- Distance covered by the train = Distance covered by motorbike + Length of the train
- 400 = 64 x (40/3600) + x
- 400 = 7.11 + x
- x = 392.89 meters
Therefore, the length of the train is approximately 400 meters (option 'C').
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Question Description
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