Answer:
2153 meters
Explanation:
You want to know the distance to a source of sound if it is heard through a medium with a speed of sound of 5030 m/s 6 seconds before it is heard through a medium with a speed of sound of 335 m/s.
Time
The relation between time, speed, and distance is ...
time = distance/speed
For some distance d in meters, the two times are d/335 seconds and d/5030 seconds. The time difference is 6 seconds, so we have ...
d/335 -d/5030 = 6
Multiplying by 337010, we have ...
1006d -67d = 2022060
939d = 2022060 . . . . . simplify
d ≈ 2153.42 . . . . . meters
The source of sound is about 2153 meters away.
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Additional comment
The distance might rightly be rounded to 2150 meters, since the given numbers are 3 significant figures each.