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A train of length 140 m is running at a speed of 60 km/hr and a dog is running in the same direction parallel to the train at a speed of 18 km/hr. The train will cross the dog in
- a)11 seconds
- b)12 seconds
- c)12 x 1/2 seconds
- d)10 seconds
- e)None of the above/More than one of the above
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A train of length 140 m is running at a speed of 60 km/hr and a dog is...
Option (2) 12 seconds will be the correct answer.
Given:
Length of the train = 140m
Speed of the Train = 60 km/h = 60 × (5/18) = 50/3 m/sec.
Speed of the dog = 18 km/h = 18 × (5/18) = 5 m/sec.
Time = T
Calculation:
Time = Length of the train / Difference in the speeds
⇒ s = 420/35 m/m/sec.
⇒ s = 12 s
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Community Answer
A train of length 140 m is running at a speed of 60 km/hr and a dog is...
To solve this problem, we need to find the time it takes for the train to cross the dog. Here's how we can approach it:
1. Convert the speeds to m/s:
- Train's speed = 60 km/hr = (60 * 1000) / 3600 = 16.67 m/s
- Dog's speed = 18 km/hr = (18 * 1000) / 3600 = 5 m/s
2. Calculate the relative speed between the train and the dog:
- Relative speed = Train's speed - Dog's speed = 16.67 m/s - 5 m/s = 11.67 m/s
3. Determine the time it takes for the train to cross the dog:
- Distance = Length of the train = 140 m
- Time = Distance / Relative speed = 140 m / 11.67 m/s ≈ 12 seconds
Therefore, the correct answer is option B, 12 seconds.
Explanation:
When the train is crossing the dog, both the train and the dog are moving in the same direction. In this case, the relative speed of the train with respect to the dog is the difference between their speeds.
To calculate the relative speed, we subtract the dog's speed from the train's speed. This gives us the speed at which the train overtakes the dog.
Once we have the relative speed, we can calculate the time it takes for the train to cross the dog by dividing the distance between them (which is the length of the train) by the relative speed.
In this case, the length of the train is given as 140 m and the relative speed is calculated as 11.67 m/s. Dividing the distance by the relative speed gives us a time of approximately 12 seconds.
Therefore, it will take 12 seconds for the train to cross the dog.
1. Convert the speeds to m/s:
- Train's speed = 60 km/hr = (60 * 1000) / 3600 = 16.67 m/s
- Dog's speed = 18 km/hr = (18 * 1000) / 3600 = 5 m/s
2. Calculate the relative speed between the train and the dog:
- Relative speed = Train's speed - Dog's speed = 16.67 m/s - 5 m/s = 11.67 m/s
3. Determine the time it takes for the train to cross the dog:
- Distance = Length of the train = 140 m
- Time = Distance / Relative speed = 140 m / 11.67 m/s ≈ 12 seconds
Therefore, the correct answer is option B, 12 seconds.
Explanation:
When the train is crossing the dog, both the train and the dog are moving in the same direction. In this case, the relative speed of the train with respect to the dog is the difference between their speeds.
To calculate the relative speed, we subtract the dog's speed from the train's speed. This gives us the speed at which the train overtakes the dog.
Once we have the relative speed, we can calculate the time it takes for the train to cross the dog by dividing the distance between them (which is the length of the train) by the relative speed.
In this case, the length of the train is given as 140 m and the relative speed is calculated as 11.67 m/s. Dividing the distance by the relative speed gives us a time of approximately 12 seconds.
Therefore, it will take 12 seconds for the train to cross the dog.
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A train of length 140 m is running at a speed of 60 km/hr and a dog is running in the same direction parallel to the train at a speed of 18 km/hr. The train will cross the dog ina)11 secondsb)12 secondsc)12 x 1/2secondsd)10 secondse)None of the above/More than one of the aboveCorrect answer is option 'B'. Can you explain this answer?
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