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Two trains travel in the same direction at 50 km/hr and 32 km/hr respectively. A man in the slower train observes that the faster train passes him completely in 15 secs. The length of the faster train, in metres, is
- a)18
- b)50
- c)75
- d)150
Correct answer is option 'C'. Can you explain this answer?
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Two trains travel in the same direction at 50 km/hr and 32 km/hr respe...
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Problem:
Two trains are traveling in the same direction. The first train is traveling at 50 km/hr and the second train is traveling at 32 km/hr. A man in the slower train observes that the faster train passes him completely in 15 seconds. We need to find the length of the faster train in meters.
Given:
- Speed of the first train = 50 km/hr
- Speed of the second train = 32 km/hr
- Time taken for the faster train to pass the slower train = 15 seconds
Approach:
To find the length of the faster train, we need to determine the distance covered by the faster train in 15 seconds. We can calculate this by using the relative speed of the two trains.
Calculating the relative speed:
Since the two trains are traveling in the same direction, the relative speed is the difference between their speeds.
Relative speed = Speed of the faster train - Speed of the slower train
Relative speed = 50 km/hr - 32 km/hr
Relative speed = 18 km/hr
Converting the relative speed to meters per second:
To calculate the distance covered by the faster train in 15 seconds, we need to convert the relative speed from km/hr to meters per second.
1 km/hr = (5/18) m/s
Relative speed = 18 km/hr * (5/18) m/s
Relative speed = 5 m/s
Calculating the distance covered by the faster train:
Distance = Speed * Time
Distance = 5 m/s * 15 s
Distance = 75 meters
Therefore, the length of the faster train is 75 meters. Hence, the correct answer is option C.
Two trains are traveling in the same direction. The first train is traveling at 50 km/hr and the second train is traveling at 32 km/hr. A man in the slower train observes that the faster train passes him completely in 15 seconds. We need to find the length of the faster train in meters.
Given:
- Speed of the first train = 50 km/hr
- Speed of the second train = 32 km/hr
- Time taken for the faster train to pass the slower train = 15 seconds
Approach:
To find the length of the faster train, we need to determine the distance covered by the faster train in 15 seconds. We can calculate this by using the relative speed of the two trains.
Calculating the relative speed:
Since the two trains are traveling in the same direction, the relative speed is the difference between their speeds.
Relative speed = Speed of the faster train - Speed of the slower train
Relative speed = 50 km/hr - 32 km/hr
Relative speed = 18 km/hr
Converting the relative speed to meters per second:
To calculate the distance covered by the faster train in 15 seconds, we need to convert the relative speed from km/hr to meters per second.
1 km/hr = (5/18) m/s
Relative speed = 18 km/hr * (5/18) m/s
Relative speed = 5 m/s
Calculating the distance covered by the faster train:
Distance = Speed * Time
Distance = 5 m/s * 15 s
Distance = 75 meters
Therefore, the length of the faster train is 75 meters. Hence, the correct answer is option C.
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Two trains travel in the same direction at 50 km/hr and 32 km/hr respectively. A man in the slower train observes that the faster train passes him completely in 15 secs. The length of the faster train, in metres, isa)18b)50c)75d)150Correct answer is option 'C'. Can you explain this answer?
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