An explosion takes place at a certain distance from an army camp. As soon as the sensor in the camp receives the sound of the explosion, a drone starts flying towards the spot of explosion. The drone clicks a picture from the spot and the camp receives it at the same time. Immediately another drone starts flying to the spot and it also sends a picture as soon as it reaches the spot. The two pictures were received at 5:02 PM and 5:05 PM, respectively. If the speed of the drones is 30 m/s, at what time did the explosion take place? Assume that the speed of sound is 300 m/s.
Detailed Explanation:
The second drone leaves at 5:02 PM (when first picture arrives) and reaches at 5:05 PM, taking 180 seconds. At 30 m/s, distance d = 5400 m.
Working backward from 5:02 PM: Sound traveled 5400/300 = 18 s to reach camp, then first drone took 5400/30 = 180 s to reach spot. Total elapsed time = 198 s = 3 min 18 s.
Therefore, explosion occurred at 5:02:00 − 3:18 = 4:58:42 PM, making Option 3 the correct answer.
Question 2 of 5 Time, Speed & Distance
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