A siren placed at a railway platform is emitting sound of frequency $5 kHz$. A passenger sitting in a moving train $A$ records a frequency of $5.5 kHz$ while the train approaches the siren. During his return journey in a different train $B$ he records a frequency of $6.0 kHz$ while approaching the same siren. The ratio of the velocity of train $B$ to that of train $A$ is
IIT 2002, Diffcult
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