Question 266706: Two seconds after firing a rifle at a target, the shooter hears the impact of the bullet. Sound travels at 1100 feet per second and the bullet travels at 1865 feet per second. Determine the distance to the target (to the nearest foot).
I can't figure out how to set up this problem. I'm guessing I need the formula rate*time=distance but other than that, I'm stuck.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Two seconds after firing a rifle at a target, the shooter hears the impact of the bullet. Sound travels at 1100 feet per second and the bullet travels at 1865 feet per second. Determine the distance to the target (to the nearest foot).
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t1 = time of the flight of the bullet
t2 = time for the sound to travel to the shooter
d = distance to target
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t1 = d/1865
t2 = d/1100
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t1 + t2 = 2
d/1865 + d/1100 = 2
1100d + 1865d = 2*1865*1100
2965d = 4103000
d = 1384 feet
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Note: some people fret about the Least Common Denominator, but if you use a calculator it's a waste of time finding it. Just get the answer.
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