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
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Given, frequency of sound, 
frequency of siren records by moving train 
,
frequency of siren records by moving train 
,
Now, let 
speed of sound
For observer 
, frequency of siren records by 
is given as,
For observer 
, frequency of siren records by train 
is given as,
or 
… (ii)
Now, from Eqs. (i) and (ii), we get or
So, the ratio of the speed of train 
to that of train 
is 
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