A hunter fired two shots from the branch of a tree at an interval of 76 seconds. A tiger separating too fast hears the two shots at an interval of 83 seconds. If the velocity of the sound is 1195.2 km/h, then find the speed of the tiger.

A. 112.8 km/h

B. 100.8 km/h

C. 80.16 km/h

D. 85.16 km/h

E. None of these

Answer: Option B

Solution(By Examveda Team)

In the case of increasing gap between two objects, we have
$$\frac{{{\text{Speed }}\,{\text{of }}\,{\text{sound}}}}{{{\text{Speed }}\,{\text{of }}\,{\text{tiger}}}} = $$     $$\frac{{{\text{Time }}\,{\text{Utilized}}}}{{{\text{Difference }}\,{\text{in }}\,{\text{time}}}}$$
$$\frac{{1195.2}}{{\text{S}}} = \frac{{83}}{7}$$
S = 100.8 km/h.