Two trains start from a & b and travel towards each other at speed of 40 kmph and 60 kmph resp. after crossing each other b had to travel another 120 km to reach origin city of a. then find the distance between a and b.
Question: Two trains start from a & b and travel towards each other at speed of 40 kmph and 60 kmph resp. after crossing each other b had to travel another 120 km to reach origin city of a. then find the distance between a and b.
Let the distance between A and B be d km.
The relative speed of the trains is 40 + 60 = 100 kmph.
The time taken by the trains to cross each other is d / 100 hours.
After crossing each other, train B travels another 120 km to reach A.
The speed of train B is 120 / (d / 100) = 12000 / d kmph.
The total speed of the two trains is 12000 / d + 100 = 13200 / d kmph.
But the total speed of the two trains is 40 + 60 = 100 kmph.
Therefore, 13200 / d = 100
d = 1320 km.
Therefore, the distance between A and B is 1320 km.
I hope this helps! Let me know if you have any other questions.
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