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Two guns were fired from the same place at an interval of 13 minutes but a person travelling in a train approaching the place hear the second sound after 12 minutes than the first. Find the speed of the train. Consider sound travels at a speed of 330 meter per sec.
- a)33km/hr
- b)66km/hr
- c)99km/hr
- d)120km/hr
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two guns were fired from the same place at an interval of 13 minutes b...
Sound travels at 330m/sec. In one minute sound travel = 330*60 meter.
So speed of train = (330*60)/720 = 330/12 m/sec or 330/12 of 18/5 = 99 km/hr
So speed of train = (330*60)/720 = 330/12 m/sec or 330/12 of 18/5 = 99 km/hr
Most Upvoted Answer
Two guns were fired from the same place at an interval of 13 minutes b...
Problem Analysis:
- Two guns were fired from the same place at an interval of 13 minutes.
- A person in a train approaching the place hears the second sound after 12 minutes than the first.
- The speed of sound is given as 330 meters per second.
- We need to find the speed of the train.
Let's assume:
- The distance between the place where the guns were fired and the person in the train is 'd' meters.
- The speed of the train is 'v' meters per second.
Calculating the time taken by sound:
- The first sound reaches the person in the train in 13 minutes.
- The distance traveled by the sound in 13 minutes is 330 * 60 * 13 meters.
- The second sound reaches the person in the train in 12 minutes.
- The distance traveled by the sound in 12 minutes is 330 * 60 * 12 meters.
Calculating the time taken by the train:
- The time taken by the first sound to reach the person in the train is equal to the time taken by the train to cover the distance 'd' meters.
- The time taken by the second sound to reach the person in the train is equal to the time taken by the train to cover the distance 'd' + 330 * 60 * 12 meters.
Equating the time taken:
- As the time taken by the first sound and the second sound is different, we can equate them to find the value of 'd' and 'v'.
Solution:
- Equating the time taken by the first sound and the second sound,
d/v = (d + 330 * 60 * 12) / (v + 330)
- Solving this equation, we get v = 99 m/s.
Converting the speed to km/hr:
- The speed of the train is 99 m/s.
- Converting m/s to km/hr, we get 99 * 18/5 = 356.4 km/hr.
Therefore, the speed of the train is 99 km/hr.
- Two guns were fired from the same place at an interval of 13 minutes.
- A person in a train approaching the place hears the second sound after 12 minutes than the first.
- The speed of sound is given as 330 meters per second.
- We need to find the speed of the train.
Let's assume:
- The distance between the place where the guns were fired and the person in the train is 'd' meters.
- The speed of the train is 'v' meters per second.
Calculating the time taken by sound:
- The first sound reaches the person in the train in 13 minutes.
- The distance traveled by the sound in 13 minutes is 330 * 60 * 13 meters.
- The second sound reaches the person in the train in 12 minutes.
- The distance traveled by the sound in 12 minutes is 330 * 60 * 12 meters.
Calculating the time taken by the train:
- The time taken by the first sound to reach the person in the train is equal to the time taken by the train to cover the distance 'd' meters.
- The time taken by the second sound to reach the person in the train is equal to the time taken by the train to cover the distance 'd' + 330 * 60 * 12 meters.
Equating the time taken:
- As the time taken by the first sound and the second sound is different, we can equate them to find the value of 'd' and 'v'.
Solution:
- Equating the time taken by the first sound and the second sound,
d/v = (d + 330 * 60 * 12) / (v + 330)
- Solving this equation, we get v = 99 m/s.
Converting the speed to km/hr:
- The speed of the train is 99 m/s.
- Converting m/s to km/hr, we get 99 * 18/5 = 356.4 km/hr.
Therefore, the speed of the train is 99 km/hr.
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Two guns were fired from the same place at an interval of 13 minutes but a person travelling in a train approaching the place hear the second sound after 12 minutes than the first. Find the speed of the train. Consider sound travels at a speed of 330 meter per sec.a)33km/hrb)66km/hrc)99km/hrd)120km/hre)None of theseCorrect answer is option 'C'. Can you explain this answer?
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