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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 of train. (speed of sound = 330 m/s)

a) 72 kmph
b) 36 kmph
c) 81 kmph
d) 108 kmph

Answer: c
Explanation: Distance travelled by man-train in 11 minute = distance traveled by sound in (11 min 45 sec – 11 min) = 45 sec.
Let the speed of train be x kmph.
$$x \times \frac{{11}}{{60}} = \frac{{45}}{{3600}} \times 330 \times \frac{{18}}{5}$$
Or, x = 81 kmph.

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