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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

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

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