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Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who is coming towards the place in a train hears the second sound after 11 minutes. Find the speed oftrain.
- a)72 km/h
- b)36 km/h
- c)81 km/h
- d)108 km/h
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two rifles are fired from the same place at a difference of 11 minutes...
If we assume the speed of the sound as 330 m/s, we can see that the distance traveled by the sound
in 45 seconds is the distance traveled by the train in 11 minutes.
330 × 45 = 660 × s Æ s = 22.5 m/s = 81 kmph
in 45 seconds is the distance traveled by the train in 11 minutes.
330 × 45 = 660 × s Æ s = 22.5 m/s = 81 kmph
Most Upvoted Answer
Two rifles are fired from the same place at a difference of 11 minutes...
Given:
Time interval between two rifle fires = 11 minutes 45 seconds = 705 seconds
Time taken for the man to hear the second sound = 11 minutes = 660 seconds
To Find:
Speed of the train
Solution:
Let the speed of the sound be 'v' m/s and the speed of the train be 'x' km/h.
Distance covered by sound in 705 seconds = Distance covered by the train in 660 seconds
Distance = Speed × Time
Distance covered by sound = v × 705
Distance covered by train = (x × 1000/3600) × 660 (Converting km/h to m/s)
∴ v × 705 = (x × 1000/3600) × 660
Simplifying the above equation, we get:
x = (v × 705 × 3600)/(660 × 1000)
As we know the speed of sound is 340 m/s, substituting the value of 'v', we get:
x = (340 × 705 × 3600)/(660 × 1000) = 81 km/h
Hence, the speed of the train is 81 km/h.
Therefore, option (c) is the correct answer.
Time interval between two rifle fires = 11 minutes 45 seconds = 705 seconds
Time taken for the man to hear the second sound = 11 minutes = 660 seconds
To Find:
Speed of the train
Solution:
Let the speed of the sound be 'v' m/s and the speed of the train be 'x' km/h.
Distance covered by sound in 705 seconds = Distance covered by the train in 660 seconds
Distance = Speed × Time
Distance covered by sound = v × 705
Distance covered by train = (x × 1000/3600) × 660 (Converting km/h to m/s)
∴ v × 705 = (x × 1000/3600) × 660
Simplifying the above equation, we get:
x = (v × 705 × 3600)/(660 × 1000)
As we know the speed of sound is 340 m/s, substituting the value of 'v', we get:
x = (340 × 705 × 3600)/(660 × 1000) = 81 km/h
Hence, the speed of the train is 81 km/h.
Therefore, option (c) is the correct answer.
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