question_answer

A light house, facing north, sends out a fan shaped beam of light extending from north-east to north-west. An observer on a steamer, sailing due west at a uniform speed, first sees the light when he is 5 km away from the light house and continues to see it for \[30\sqrt{2}\] minutes. Speed of the steamer is _____.

A)  \[\frac{1}{6}\,Km/\min \]

B)  \[\frac{1}{10}\,Km/\min \]

C)  \[\frac{1}{5}\,Km/\min \]          

D)  None of these