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Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?
- a)88
- b)70
- c)62
- d)50
Correct answer is option 'D'. Can you explain this answer?
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Given:
- Two trains are running on parallel lines in the same direction.
- The speed of the faster train is 46 km/hr.
- The speed of the slower train is 36 km/hr.
- The faster train passes the slower train in 36 seconds.
To find:
The length of each train.
Approach:
Let's assume the length of each train is 'x'.
When the faster train overtakes the slower train, it covers the length of the slower train.
The relative speed between the two trains is the difference between their speeds: (46 - 36) = 10 km/hr.
We need to convert the speed from km/hr to m/s to match the time unit.
1 km/hr = (5/18) m/s
So, the relative speed between the two trains is (10 * 5/18) m/s.
The formula to find the distance covered is:
Distance = Speed * Time
Substituting the values, we have:
x = (10 * 5/18 * 36) m
Simplifying further:
x = 100 m
Therefore, the length of each train is 100 meters.
Hence, the correct answer is option D) 50 meters.
- Two trains are running on parallel lines in the same direction.
- The speed of the faster train is 46 km/hr.
- The speed of the slower train is 36 km/hr.
- The faster train passes the slower train in 36 seconds.
To find:
The length of each train.
Approach:
Let's assume the length of each train is 'x'.
When the faster train overtakes the slower train, it covers the length of the slower train.
The relative speed between the two trains is the difference between their speeds: (46 - 36) = 10 km/hr.
We need to convert the speed from km/hr to m/s to match the time unit.
1 km/hr = (5/18) m/s
So, the relative speed between the two trains is (10 * 5/18) m/s.
The formula to find the distance covered is:
Distance = Speed * Time
Substituting the values, we have:
x = (10 * 5/18 * 36) m
Simplifying further:
x = 100 m
Therefore, the length of each train is 100 meters.
Hence, the correct answer is option D) 50 meters.
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Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?a)88b)70c)62d)50Correct answer is option 'D'. Can you explain this answer?
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