Two tarins running in opposite direction cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is :

A 1 : 3
B 3 : 2
C 3 : 4
D None of these

Correct Answer: 3 : 2

Let, their speeds are x mps and y mps So, length of the trains are 27x meters and 17 y meters ATQ, 27x  + 17 yx + y = 23⇒27x  + 17y  =  23 x + 23y⇒27x  - 23x  = 23y  - 17y⇒4x  = 6y⇒xy = 64⇒xy = 32⇒x :y  =  3 :2 
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