How to tell how far bullet went using sound

[Galahad43]

Homework Statement

A person holds a rifle horizontally and fires at a target. The bullet has a muzzle speed of 170 m/s, and the person hears the bullet strike the target 1.30 s after firing it. The air temperature is 72°F. What is the distance to the target?

Homework Equations

Vc=331+(0.6*T)
Vc= speed of sound through dry air (m/s)
T= temperature(Degrees C)

The Attempt at a Solution

Vc=331+(0.6*22.2)=344.32m/s
170x+344.32(1.3-x)=D

 

[ideasrule]

One more condition: the bullet has to travel exactly as far in getting to the target as the sound does in traveling back.

 

[Galahad43]

Thank you. Got it