A sonar signal takes 6 seconds to travel down to an underwater reef and reflect back to the vessel. If the speed of sound in water is 1500 m/s, find the depth of the reef in kilometers. MCQ with Answer and Explanation
A sonar signal takes 6 seconds to travel down to an underwater reef and reflect back to the vessel. If the speed of sound in water is 1500 m/s, find the depth of the reef in kilometers.
A. 4.2 km
B. 5.0 km
C. 4.8 km
D. 4.5 km
Answer: Option D
Solution (By JKExamLibrary)
Total travel time to reef and back = 6 seconds. Time to reach reef = 3 seconds. Depth = Speed * Time = 1500 * 3 = 4500 meters = 4.5 km.
Explanation:
Let total distance be 100 km. First part = 25 km; Time = 24 / 25 = 1 hour. Remaining part = 75 km; Time = 75 / 75 = 1 hour. Total distance = 100 km, Total time = 2 hours. Average speed = 100 / 2 = 50 km/h.
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