Question 9

During a marriage ceremony in Panipat, two shots from the air rifle are fired from the sameplace at an interval of 10 minutes 42 seconds. A man sitting in the train which is approaching the placewhere the ceremony is being held, hears the second sound after 10 minutes of hearing the first one.Assuming speed of sound to be 330 m/s, what could be the speed of the train?

Solution

Let the speed of the train be x.

Since the train and the bullet are travelling in opposite directions, the relative speed of the train with respect to the bullet = (330 + x) m/s

Now, the distance between the bullets = $$330\times\ 642\ m$$

The train travelled this distance in 10 minutes.

Thus, $$\left(330+x\right)\times\ 600\ =\ 330\times\ 642$$

$$x\times\ 600\ =\ 330\times\ 42$$

Speed of train = 13860/600 = 23.1 m/s

Thus, the correct option is C.


Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 40+ previous papers with solutions PDF
  • Top 500 MBA exam Solved Questions for Free

cracku

Boost your Prep!

Download App