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A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
- a)230 m
- b)240 m
- c)260 m
- d)320 m
Correct answer is option 'A'. Can you explain this answer?
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A 270 metres long train running at the speed of 120 kmph crosses anoth...
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A 270 metres long train running at the speed of 120 kmph crosses anoth...
Given information:
- Length of the first train = 270 meters
- Speed of the first train = 120 kmph
- Speed of the second train = 80 kmph
- Time taken to cross the second train = 9 seconds
To find:
- Length of the second train
Let's solve this problem step by step:
Step 1: Convert the speeds from kmph to m/s
- Speed of the first train = 120 kmph = (120 * 1000) / 3600 = 33.33 m/s
- Speed of the second train = 80 kmph = (80 * 1000) / 3600 = 22.22 m/s
Step 2: Calculate the relative speed of the two trains
- Relative speed = speed of the first train + speed of the second train
- Relative speed = 33.33 m/s + 22.22 m/s = 55.55 m/s
Step 3: Calculate the distance covered by the first train in 9 seconds
- Distance = speed * time
- Distance = 33.33 m/s * 9 s = 299.97 meters
Step 4: Calculate the total distance covered by the two trains while crossing each other
- Total distance = length of the first train + length of the second train
- Total distance = 270 meters + length of the second train
Step 5: Apply the formula for relative speed to find the length of the second train
- Total distance = relative speed * time
- 270 meters + length of the second train = 55.55 m/s * 9 s
- 270 meters + length of the second train = 499.95 meters
Step 6: Solve for the length of the second train
- length of the second train = 499.95 meters - 270 meters
- length of the second train = 229.95 meters
Therefore, the length of the second train is approximately 230 meters. Hence, option A is the correct answer.
- Length of the first train = 270 meters
- Speed of the first train = 120 kmph
- Speed of the second train = 80 kmph
- Time taken to cross the second train = 9 seconds
To find:
- Length of the second train
Let's solve this problem step by step:
Step 1: Convert the speeds from kmph to m/s
- Speed of the first train = 120 kmph = (120 * 1000) / 3600 = 33.33 m/s
- Speed of the second train = 80 kmph = (80 * 1000) / 3600 = 22.22 m/s
Step 2: Calculate the relative speed of the two trains
- Relative speed = speed of the first train + speed of the second train
- Relative speed = 33.33 m/s + 22.22 m/s = 55.55 m/s
Step 3: Calculate the distance covered by the first train in 9 seconds
- Distance = speed * time
- Distance = 33.33 m/s * 9 s = 299.97 meters
Step 4: Calculate the total distance covered by the two trains while crossing each other
- Total distance = length of the first train + length of the second train
- Total distance = 270 meters + length of the second train
Step 5: Apply the formula for relative speed to find the length of the second train
- Total distance = relative speed * time
- 270 meters + length of the second train = 55.55 m/s * 9 s
- 270 meters + length of the second train = 499.95 meters
Step 6: Solve for the length of the second train
- length of the second train = 499.95 meters - 270 meters
- length of the second train = 229.95 meters
Therefore, the length of the second train is approximately 230 meters. Hence, option A is the correct answer.
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A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?a)230 mb)240 mc)260 md)320 mCorrect answer is option 'A'. Can you explain this answer?
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