the problem is .
Two guns were fired from the same place at an interval of 17 minutes but a person in a train approaching the place hears the second report 16 minutes and 30 seconds after the first . supposing that the sound travels at the speed of 330 mts per second , find the speed of the train
Well, if you were standing still some distance away you would have the first sound reach you as the other was still travelling toward you at 330 m/s.
If you could speed up the other sound, for example by moving towards it, you could get to hear it sooner.
At 330 m/s, it would take 17 min.
At (say) 660 m/s it would take 8.5 mins (double the speed and halve the time)
So, I can figure that the relative speed should be 330 * (17/16.5) = 340 m/s
In other words, at 340 m/s, it would take 17 * 330/340 = 16.5 mins.
So, you would have to "speed up" the sound by simply moving towards it at 10 m/s
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman