Two guns are fired from the same place at an interval of 15 min. A person approaching the place observes that 14 min 30 sec have elapsed between the hearings of the sound of the two guns. If the velocity of the sound is 330 m/sec, the man was approaching that place at what speed (in km/h)?
- A. 50.23
- B. 40.9655 ✓
- C. 45.1826
- D. 32.2632
Correct Answer: B. 40.9655
Explanation
Distance man travels in 14 min 30 sec (870 sec) equals distance sound travels in 30 sec. v \times 870 = 330 \times 30 \Rightarrow v = 11.379 m/s. Speed in km/h = 11.379 \times \frac{18}{5} \approx 40.9655 km/h.
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