SOLUTION: Two seconds after firing a rifle at a target the shooter hears the impact of the bullet on the target. Sound travels at 1100 feet per second, and the bullet at 1865 feet per second

Question 937258: Two seconds after firing a rifle at a target the shooter hears the impact of the bullet on the target. 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)

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
d = distance from shooter to target
s = d/t
---
time of bullet traveling, from shooter fires to bullet hits target:
use speed of bullet:
a = d/s
a = d/1865
---
time of sound traveling, from bullet hits target to shooter hears bullet hit target:
use speed of sound:
b = d/s
b = d/1100
---
total time elapsed, from shooter fires to shooter hears bullet hit target:
a + b = 2
d/1865 + d/1100 = 2
1100d/(1100*1865) + 1865d/(1100*1865) = 2
1100d + 1865d = 2*(1100*1865)
(1100 + 1865)d = 2*(1100*1865)
d = 2*(1100*1865)/(1100 + 1865)
d = 1383.81112985
---
answer:
distance from shooter to target = 1384 feet
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
RELATED QUESTIONS
Two seconds after firing a rifle at a target, the shooter hears the impact of the bullet. (answered by Theo)

Speed of Sound in Air Two seconds after firing a rifle at a target, the shooter hears... (answered by ankor@dixie-net.com,jrfrunner)

Two seconds after firing a rifle at a target, the shooter hears the impact of the bullet. (answered by Alan3354)

A marksman fires at a target 420 meters away and hears the bullet strike 2 seconds after... (answered by ankor@dixie-net.com)

A bullet is fired horizontally at a target, and the sound of its impact is hear 1.5... (answered by haileytucki)

A bullet is fired at a target and the sound its impact is heard 6 seconds later. If it... (answered by ankor@dixie-net.com)

please answered this problem,A bullet is fired at a target and sound of its impact is... (answered by mananth)

A bullet is fired horizontally at a target, and the sound of its impact is heard 0.9... (answered by ankor@dixie-net.com)

A bullet if fired horizontally at a target, and the sound of its impact is heard 1.5... (answered by jojo14344)