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Two guns were fired from the same place at an interval of 25 min. But a person sitting in the train approaching the place hears the second firing 22 min after the first firing. If the speed of the sound is 264 m/s. Then, what is the speed of the train?

Two guns were fired from the same place at an interval of 25 min. But a person sitting in the train approaching the place hears the second firing 22 min after the first firing. If the speed of the sound is 264 m/s. Then, what is the speed of the train? Correct Answer 129.6 km/hr

Concept used:

Distance covered by bullet in 3 min is equal to the distance covered by train in 22 min.

Formula used:

Distance = Speed × Time

Calculation:

Distance covered by bullet in 3 min = Speed of sound × Time

⇒ (264 m/s × 3 min)

Suppose the speed of the train is x m/s.

Distance covered by train in 22 min = Speed of train × Time

⇒ (x m/s × 22 min)

Therefore,

264 × 3 = x × 22

⇒ x = (264 × 3)/22

⇒ x = 12 × 3

⇒ x = 36 m/s

⇒ x = (36/1000) × 3600 km/hour

⇒ x = 1296/10 km/hr

⇒ x = 129.6 km/hr

∴ The speed of the train is 129.6 km/hour

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