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in how much time will a train 180m long running at 66 km hr pass a man running at 6 km hr in a direction opposite tothat in which the train is going
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in how much time will a train 180m long running at 66 km hr pass a man...
Given:
- Length of the train = 180 m
- Speed of the train = 66 km/hr
- Speed of the man = 6 km/hr
To find:
- Time taken by the train to pass the man
Approach:
- We can calculate the relative speed between the train and the man.
- The relative speed is the difference between the speed of the train and the speed of the man, as they are moving in opposite directions.
Calculation:
Step 1: Convert the speeds into meters per second (m/s):
- Speed of the train = 66 km/hr = (66 * 1000) / (60 * 60) = 18.33 m/s
- Speed of the man = 6 km/hr = (6 * 1000) / (60 * 60) = 1.67 m/s
Step 2: Calculate the relative speed:
- Relative speed = Speed of the train - Speed of the man = 18.33 m/s - 1.67 m/s = 16.66 m/s
Step 3: Calculate the time taken by the train to pass the man:
- Distance = Length of the train = 180 m
- Time = Distance / Relative speed = 180 m / 16.66 m/s = 10.8 seconds (approximately)
Answer:
The train will take approximately 10.8 seconds to pass the man running in the opposite direction.
Explanation:
- The relative speed between the train and the man is the combined speed at which they are moving towards each other.
- The train must cover the length of the man to completely pass him.
- The time taken by the train to pass the man is determined by dividing the distance to be covered (length of the train) by the relative speed.
- In this case, the train will take approximately 10.8 seconds to pass the man.
- Length of the train = 180 m
- Speed of the train = 66 km/hr
- Speed of the man = 6 km/hr
To find:
- Time taken by the train to pass the man
Approach:
- We can calculate the relative speed between the train and the man.
- The relative speed is the difference between the speed of the train and the speed of the man, as they are moving in opposite directions.
Calculation:
Step 1: Convert the speeds into meters per second (m/s):
- Speed of the train = 66 km/hr = (66 * 1000) / (60 * 60) = 18.33 m/s
- Speed of the man = 6 km/hr = (6 * 1000) / (60 * 60) = 1.67 m/s
Step 2: Calculate the relative speed:
- Relative speed = Speed of the train - Speed of the man = 18.33 m/s - 1.67 m/s = 16.66 m/s
Step 3: Calculate the time taken by the train to pass the man:
- Distance = Length of the train = 180 m
- Time = Distance / Relative speed = 180 m / 16.66 m/s = 10.8 seconds (approximately)
Answer:
The train will take approximately 10.8 seconds to pass the man running in the opposite direction.
Explanation:
- The relative speed between the train and the man is the combined speed at which they are moving towards each other.
- The train must cover the length of the man to completely pass him.
- The time taken by the train to pass the man is determined by dividing the distance to be covered (length of the train) by the relative speed.
- In this case, the train will take approximately 10.8 seconds to pass the man.
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in how much time will a train 180m long running at 66 km hr pass a man running at 6 km hr in a direction opposite tothat in which the train is going for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about in how much time will a train 180m long running at 66 km hr pass a man running at 6 km hr in a direction opposite tothat in which the train is going covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for in how much time will a train 180m long running at 66 km hr pass a man running at 6 km hr in a direction opposite tothat in which the train is going.
in how much time will a train 180m long running at 66 km hr pass a man running at 6 km hr in a direction opposite tothat in which the train is going for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about in how much time will a train 180m long running at 66 km hr pass a man running at 6 km hr in a direction opposite tothat in which the train is going covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for in how much time will a train 180m long running at 66 km hr pass a man running at 6 km hr in a direction opposite tothat in which the train is going.
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