Timework18

28Two trains A and B start from stations X and Y towards each other. B leaves station Y half an hour after train A leaves station X. Two hours after train A has started, the distance between trains A and B is 19/30 th of the distance between stations X and Y. How much time would it take each train (A and B) to cover the distance X to Y, if train A reaches half an hour later to its destination as compared to B?

Option : C
Explanation :
Two equations are

where T₁ and T₂ are time taken by trains A and B to cover the whole distance
and
Solving equations (i) and (ii), we get
T₁ = 10 hrs. and T₂ = 9 hrs.

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