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Two trains of lengths 150 m and 180 m respectively are running in opposite directions on parallel tracks. If their speed is 50 km/hour and 58 km/hour respectively. In how much time will they cross each other?
- a)11 seconds
- b)15 seconds
- c)22 seconds
- d)9 seconds
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Two trains of lengths 150 m and 180 m respectively are running in oppo...
Approach:
- Calculate the relative speed of the two trains when moving in opposite directions.
- Use the relative speed to find the time taken for the trains to cross each other.
Calculations:
Step 1: Calculate the relative speed of the trains
- When two objects move towards each other, their speeds add up.
- Relative speed = Speed of train 1 + Speed of train 2
- Relative speed = 50 km/h + 58 km/h
- Relative speed = 108 km/h
Step 2: Convert speed to m/s
- 1 km/h = 5/18 m/s
- Relative speed = 108 * 5/18 m/s
- Relative speed = 30 m/s
Step 3: Calculate the total distance to be covered
- Total distance = Length of train 1 + Length of train 2
- Total distance = 150 m + 180 m
- Total distance = 330 m
Step 4: Calculate the time taken to cross each other
- Time = Distance / Speed
- Time = 330 m / 30 m/s
- Time = 11 seconds
Therefore, the trains will cross each other in 11 seconds. Hence, option 'A' is the correct answer.
- Calculate the relative speed of the two trains when moving in opposite directions.
- Use the relative speed to find the time taken for the trains to cross each other.
Calculations:
Step 1: Calculate the relative speed of the trains
- When two objects move towards each other, their speeds add up.
- Relative speed = Speed of train 1 + Speed of train 2
- Relative speed = 50 km/h + 58 km/h
- Relative speed = 108 km/h
Step 2: Convert speed to m/s
- 1 km/h = 5/18 m/s
- Relative speed = 108 * 5/18 m/s
- Relative speed = 30 m/s
Step 3: Calculate the total distance to be covered
- Total distance = Length of train 1 + Length of train 2
- Total distance = 150 m + 180 m
- Total distance = 330 m
Step 4: Calculate the time taken to cross each other
- Time = Distance / Speed
- Time = 330 m / 30 m/s
- Time = 11 seconds
Therefore, the trains will cross each other in 11 seconds. Hence, option 'A' is the correct answer.
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Community Answer
Two trains of lengths 150 m and 180 m respectively are running in oppo...
Standard Formula: Suppose A and B are two objects with lengths L1 and L2 respectively, and their speeds are S1 and S2 respectively and moving in opposite direction, then
- Crossing Time(Ct) = Length of the objects/ Relative speed of the object(s)
Thus, Ct= (L1+L2)/(S1 +S2)
By looking at the above problem, we can say that,
- L1 = 150 m,
- L2 = 180 m,
- S1 = 50 km/hr
- S2 = 58 km/hr
Relative speed= (S1+S2)= 108 km/hr or (108 * 5/18) m/s = 30 m/s.
Therefore, crossing time Ct= (L1+L2)/ Relative speed
Ct= (150 m+180 m)/ 30 m/s
Ct= 330 m / 30 m/s = 11 seconds
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Two trains of lengths 150 m and 180 m respectively are running in opposite directions on parallel tracks. If their speed is 50 km/hour and 58 km/hour respectively. In how much time will they cross each other?a)11 secondsb)15 secondsc)22 secondsd)9 secondsCorrect answer is option 'A'. Can you explain this answer?
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Two trains of lengths 150 m and 180 m respectively are running in opposite directions on parallel tracks. If their speed is 50 km/hour and 58 km/hour respectively. In how much time will they cross each other?a)11 secondsb)15 secondsc)22 secondsd)9 secondsCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two trains of lengths 150 m and 180 m respectively are running in opposite directions on parallel tracks. If their speed is 50 km/hour and 58 km/hour respectively. In how much time will they cross each other?a)11 secondsb)15 secondsc)22 secondsd)9 secondsCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two trains of lengths 150 m and 180 m respectively are running in opposite directions on parallel tracks. If their speed is 50 km/hour and 58 km/hour respectively. In how much time will they cross each other?a)11 secondsb)15 secondsc)22 secondsd)9 secondsCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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