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Two trains start at the same time from two stations A and B towards each other.
They arrive at B and A respectively in 5 hours and 20 hours after they passed each other.
If the speed of the train that started from A is 56 kmph, then what is the speed of the second train (in kmph)?
- a)28 kmph
- b)26 kmph
- c)24 kmph
- d)22 kmph
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Two trains start at the same time from two stations A and B towards e...
Given information:
- Speed of the train starting from station A = 56 kmph
- Time taken for the two trains to meet and return to their respective stations = 5 hours and 20 hours
Approach:
1. Let the speed of the train starting from station B be x kmph.
2. Using the formula: Speed = Distance/Time, we can calculate the distance traveled by each train when they meet.
3. The total distance traveled by both trains is the sum of the distances traveled by each train when they meet.
Calculations:
- Distance traveled by first train = 56 * 5 = 280 km (since speed * time = distance)
- Distance traveled by second train = x * 5 (as it takes 5 hours to meet)
- Total distance traveled by both trains = 280 + x * 5
- Distance traveled by first train = x * 20 (as it takes 20 hours to return to station A)
- Equating the distances traveled by both trains: 280 + 5x = 20x
- Solving the equation, we get x = 28 kmph
Therefore, the speed of the second train is 28 kmph, which is option (a).
- Speed of the train starting from station A = 56 kmph
- Time taken for the two trains to meet and return to their respective stations = 5 hours and 20 hours
Approach:
1. Let the speed of the train starting from station B be x kmph.
2. Using the formula: Speed = Distance/Time, we can calculate the distance traveled by each train when they meet.
3. The total distance traveled by both trains is the sum of the distances traveled by each train when they meet.
Calculations:
- Distance traveled by first train = 56 * 5 = 280 km (since speed * time = distance)
- Distance traveled by second train = x * 5 (as it takes 5 hours to meet)
- Total distance traveled by both trains = 280 + x * 5
- Distance traveled by first train = x * 20 (as it takes 20 hours to return to station A)
- Equating the distances traveled by both trains: 280 + 5x = 20x
- Solving the equation, we get x = 28 kmph
Therefore, the speed of the second train is 28 kmph, which is option (a).
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Community Answer
Two trains start at the same time from two stations A and B towards e...
Let the speeds of two trains starting from station A and B be S1 and S2 respectively and the time taken by them after meeting be t1 and t2 respectively.
Then, we can use this equation to get the answer: 
S2 = 28 kmph
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Two trains start at the same time from two stations A and B towards each other.They arrive at B and A respectively in 5 hours and 20 hours after they passed each other.If the speed of the train that started from A is 56 kmph, then what is the speed of the second train (in kmph)?a)28 kmphb)26 kmphc)24 kmphd)22 kmphCorrect answer is option 'A'. Can you explain this answer?
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