Speed of Sound in Air Two seconds after firing a rifle at a target, the shooters hears the impact of the bullet. Sound travels at 1100 feet per second and the bullet at 1865 feet per second.

Determine the distance to the target. ( to the nearest foot)

Help me solve this. I don't know how to solve this.

Question

Speed of Sound in Air Two seconds after firing a rifle at a target, the shooters hears the impact of the bullet. Sound travels at 1100 feet per second and the bullet at 1865 feet per second. 

Determine the distance to the target. ( to the nearest foot)

Help me solve this. I don't know how to solve this.

anonymous · Answer

the shooter heard the impact after two seconds (t=2.0 sec.)... the sound travels at 1100 feet per second... the distance then is $$distance=rate \times time$$just plug-in the values...

anonymous · Answer

speed of the bullet has no relation to the speed of sound...

anonymous · Answer

is 1384 the ans?

anonymous · Answer

@Orion1213  is 1384 the right ans?

anonymous · Answer

i got 2200... 1100 x 2...

anonymous · Answer

how did you get 1384 @bless ?

anonymous · Answer

t1 = time of the flight of the bullet
t2 = time for the sound to travel to the shooter
d = distance to target
----------------
t1 = d/1865
t2 = d/1100
-----------
t1 + t2 = 2
d/1865 + d/1100 = 2
1100d + 1865d = 2*1865*1100
2965d = 4103000
d = 1384 feet

anonymous · Answer

@Orion1213  is this correct?

anonymous · Answer

ok i'm sorry the time given is the total time incurred upon firing then hearing... yes you got it right....