SOLUTION: A bullet is fired at a target and the sound its impact is heard 6 seconds later. If it travels at the rate of 2200 feet per second and sound travels at the rate of 1100 feet per se

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Question 635715: A bullet is fired at a target and the sound its impact is heard 6 seconds later. If it travels at the rate of 2200 feet per second and sound travels at the rate of 1100 feet per second, how far away is the target?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A bullet is fired at a target and the sound its impact is heard 6 seconds later.
If it travels at the rate of 2200 feet per second and sound travels at the rate
of 1100 feet per second, how far away is the target?
:
Let d = distance to the target
:
Write a time equation: time = dist/speed
:
bullet time + impact sound time = 6 seconds
d%2F2200 + d%2F1100 = 6
multiply by 2200
2200*d%2F2200 + 2200*d%2F1100 = 2200*6
cancel out denominators, and you have
d + 2d = 13200
3d = 13200
d = 13200/3
d = 4400 ft to the target
:
:
confirm this, find the time each way
4400/2200 = 2 sec
4400/1100 = 4 sec
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total time: 6 sec