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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?
Most Upvoted Answer
Two trains start at the same time from two stations A and B towards ea...
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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Community Answer
Two trains start at the same time from two stations A and B towards ea...
Given information:
- 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.
- The speed of the train that started from A is 56 kmph.

Objective:
To find the speed of the second train.

Approach:
Let's assume the speed of the second train as 'x' kmph.

When two trains are moving towards each other, the total distance covered by both the trains is the sum of the distances covered by each train individually.

Calculating the distance:
Let d be the distance between the two stations A and B.

Distance covered by the train starting from A = Speed of the train starting from A * Time taken to reach B
= 56 kmph * 5 hours
= 280 km

Distance covered by the train starting from B = Speed of the train starting from B * Time taken to reach A
= x kmph * 20 hours
= 20x km

Total distance covered by both trains = Distance covered by train starting from A + Distance covered by train starting from B
= 280 km + 20x km
= 280 + 20x km

Since the trains are moving towards each other, the total distance covered by both trains is equal to the distance between the two stations.

Therefore, 280 + 20x km = d

Calculating the speed of the second train:
Since the distance covered by both trains is the same, we can equate the distances covered by each train individually.

Distance covered by the train starting from A = Distance covered by the train starting from B

56 kmph * 5 hours = x kmph * 20 hours

280 km = 20x km

Dividing both sides by 20, we get:

14 km = x kmph

Therefore, the speed of the second train is 14 kmph.

Conclusion:
The speed of the second train is 14 kmph, which corresponds to option A.
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