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Two guns were fired from the same place at an interval of 10 minutes 12 Sep 2019, 10:01
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C
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95% (hard)

Question Stats:

53% (02:41) correct 47% (02:53) wrong based on 113 sessions

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Two guns were fired from the same place at an interval of 10 minutes and 30 seconds. A traveller inside a train approaching the place hears the second shot 10 minutes after the first one. Assume that sound travels at the rate of 330 meters per second. What is the speed of the train?

(A) 19.8 km/hr

(B) 58.6 km/hr

(C) 59.4 km/hr

(D) 85.4 km/hr

(E) 110.8 km/hr
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C
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Two guns were fired from the same place at an interval of 10 minutes 12 Sep 2019, 13:36
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Hovkial
Two guns were fired from the same place at an interval of 10 minutes and 30 seconds. A traveller inside a train approaching the place hears the second shot 10 minutes after the first one. Assume that sound travels at the rate of 330 meters per second. What is the speed of the train?

(A) 19.8 km/hr

(B) 58.6 km/hr

(C) 59.4 km/hr

(D) 85.4 km/hr

(E) 110.8 km/hr
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distance between 2 bullets = 207.9km~ 208 km (330m/s@ 10.5mints)
let speed of train =S kmph
330m/s= 1188kmph
relative speed- S+1188 kmph

208/(S+1188) = 1/6 hrs(10mints)
s=59.4kmph

Ans C
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Two guns were fired from the same place at an interval of 10 minutes 13 Sep 2019, 16:32
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Hovkial
Two guns were fired from the same place at an interval of 10 minutes and 30 seconds. A traveller inside a train approaching the place hears the second shot 10 minutes after the first one. Assume that sound travels at the rate of 330 meters per second. What is the speed of the train?

(A) 19.8 km/hr

(B) 58.6 km/hr

(C) 59.4 km/hr

(D) 85.4 km/hr

(E) 110.8 km/hr
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When the second shot is fired, the sound wave of the first shot has traveled a distance of 330 x (10 x 60 + 30) = 207,900 meters = 207.9 km. Notice that 330 m/s = 330 x 3600 / 1000 = 1188 km/hr and 10 minutes = 1/6 hour. If we let the speed of the train = r km/hr, we can create the equation:

(1/6)r + (1/6) x 1188 = 207.9

r/6 + 198 = 207.9

r/6 = 9.9

r = 59.4 km/hr

Answer: C
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Two guns were fired from the same place at an interval of 10 minutes 18 Sep 2019, 00:12
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What source is this?

Never seen something similar to this in any official questions, with the speed of the sound it's imho not a real gmat question because there is too much dots do connect about the physic background.

Could be the case that I missed all those questions so far though.
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Two guns were fired from the same place at an interval of 10 minutes 18 Sep 2019, 23:53
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GS_________________T2_______T1

GS is the point where the gunshots were fired and T1 and T2 the positions of the passenger when he hears the sounds of the 1st and 2nd shots respectively.

CONCEPTUALIZATION:
Let's say he hears the sound of the 1st shot at 4:00 pm. Had the train stopped at T1 and remained stationary, he would have heard the sound of the 2nd shot 10 mins & 30 secs after 4:00 pm (i.e. at 04:10:30 pm) since the 2nd shot was fired 10.5 mins after the 1st. Since the train did not stop at T1 and continued to move forward, he heard the sound of the 2nd shot 10 mins after the 1st i.e at 4:10 pm. So the train traveled the distance between T1 and T2 in 10 mins.
Again, since the sound wave of the 2nd shot reached T2 at 04:10:00 pm and T1 at 04:10:30 pm, we can conclude that the distance between T1 & T2 is: 330 m/s (Speed of sound)*30 secs (Time traveled) = 330*30 meters.

CALCULATION:
Speed of train: (330*30 meters)/(10*60 secs) = (33/2) m/s =59.4 kmph ANS: C
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Two guns were fired from the same place at an interval of 10 minutes 07 Dec 2025, 11:51
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