What was the ratio of the speed of the man and the speed of sound?

Aug 2014
507
1
India
A gun was fired from the same place at an interval of 3 hours. A man who was walking towards the place from where the gun was fired heard the gunshots at an interval of 2 hours 59 mins. What was the ratio of the speed of the man and the speed of sound?

I draw the diagram of moving man walking beside the gun bullets at two time intervals:



From here, how to proceed ?
 
Last edited:

Denis

Math Team
Oct 2011
14,592
1,026
Ottawa Ontario, Canada
Plus I see nothing wrong with looking at it as Car1 (the bullet)
leaving from A (path AB) and Car2 (the walker) leaving from B.