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Two trains which are 180 m and 170 m in length are running towards each other on the parallel lines at a speed of 72 km/hr and 54 km/hr respectively. To cross each other after they meet, each will take:
- a)10 sec
- b)12 sec
- c)9 sec
- d)8 sec
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two trains which are 180 m and 170 m in length are running towards eac...
Since the trains are travelling towards each other, we have
Relative speed = 72 + 54 = 126 kmph
Converting it into m/s, we have
126 kmph = 126 × 5/18 = 35 m/s
Time taken to cross each other = (180 + 170)/35 = 10 sec
Most Upvoted Answer
Two trains which are 180 m and 170 m in length are running towards eac...
To find the time it takes for the two trains to cross each other after they meet, we need to determine the distance they need to cover to cross each other and then divide it by the relative speed of the two trains.
The distance the two trains need to cover to cross each other is equal to the sum of their lengths. Let's calculate it:
Distance = Length of Train 1 + Length of Train 2
Distance = 180 m + 170 m
Distance = 350 m
Now, we need to find the relative speed of the two trains. Since they are running towards each other on parallel lines, their relative speed is equal to the sum of their individual speeds. Let's calculate it:
Relative Speed = Speed of Train 1 + Speed of Train 2
Relative Speed = 72 km/hr + 54 km/hr
Relative Speed = 126 km/hr
But the given distance is in meters and the speed is in km/hr. So, we need to convert the speed from km/hr to m/s by dividing it by 3.6 (since 1 km/hr = 1000 m/3600 s = 1/3.6 m/s). Let's calculate the relative speed in m/s:
Relative Speed = 126 km/hr ÷ 3.6
Relative Speed = 35 m/s
Now, we can find the time it takes for the two trains to cross each other after they meet by dividing the distance by the relative speed:
Time = Distance ÷ Relative Speed
Time = 350 m ÷ 35 m/s
Time = 10 s
Therefore, it will take 10 seconds for the two trains to cross each other after they meet. Hence, the correct answer is option 'A' (10 sec).
The distance the two trains need to cover to cross each other is equal to the sum of their lengths. Let's calculate it:
Distance = Length of Train 1 + Length of Train 2
Distance = 180 m + 170 m
Distance = 350 m
Now, we need to find the relative speed of the two trains. Since they are running towards each other on parallel lines, their relative speed is equal to the sum of their individual speeds. Let's calculate it:
Relative Speed = Speed of Train 1 + Speed of Train 2
Relative Speed = 72 km/hr + 54 km/hr
Relative Speed = 126 km/hr
But the given distance is in meters and the speed is in km/hr. So, we need to convert the speed from km/hr to m/s by dividing it by 3.6 (since 1 km/hr = 1000 m/3600 s = 1/3.6 m/s). Let's calculate the relative speed in m/s:
Relative Speed = 126 km/hr ÷ 3.6
Relative Speed = 35 m/s
Now, we can find the time it takes for the two trains to cross each other after they meet by dividing the distance by the relative speed:
Time = Distance ÷ Relative Speed
Time = 350 m ÷ 35 m/s
Time = 10 s
Therefore, it will take 10 seconds for the two trains to cross each other after they meet. Hence, the correct answer is option 'A' (10 sec).
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Two trains which are 180 m and 170 m in length are running towards each other on the parallel lines at a speed of 72 km/hr and 54 km/hr respectively. To cross each other after they meet, each will take:a)10 secb)12 secc)9 secd)8 secCorrect answer is option 'A'. Can you explain this answer?
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