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Two guns are fired from the same place at an interval of 6 minutes. A person approaching the place observes that 5 minutes 52 seconds 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)?
Answer & Solution
Correct Answer:
Option
B
Difference of time
= 6 min - 5 mins. 52 secs.
= 8 secs. Distance covered by man in 5 mins. 52 secs.
= Distance covered by sound in 8 secs. = 330 × 8 = 2640 m. ∴ Speed of man
$$\eqalign{ & = \frac{2640\text{ m}}{\text{5 min. 52 secs.}} \cr & = \frac{2640}{352}\text{ m/secs} \cr & = \frac{2640}{352}\times\frac{18}{5}\text{ kmph} \cr & = 27 \text{ kmph} }$$
= 6 min - 5 mins. 52 secs.
= 8 secs. Distance covered by man in 5 mins. 52 secs.
= Distance covered by sound in 8 secs. = 330 × 8 = 2640 m. ∴ Speed of man
$$\eqalign{ & = \frac{2640\text{ m}}{\text{5 min. 52 secs.}} \cr & = \frac{2640}{352}\text{ m/secs} \cr & = \frac{2640}{352}\times\frac{18}{5}\text{ kmph} \cr & = 27 \text{ kmph} }$$
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LoginCovered distance by sound is (8×330)m
Time taken by men is (352) sec
So, speed of men is (8×330)/352 m/s=(15/2)×(18/5) kmph=27 kmph
Answer 27 kmph