A) 38.7
B) 42
C) 37.5
D) 40
Correct Answer: C
Solution :
A moving bodys average velocity during an interval of time is the total distance covered divided by the total time elapsed while travelling in a given direction. Let total distance travelled is x, then \[{{V}_{av}}=\frac{x}{{{t}_{1}}+{{t}_{2}}}\] Here, \[{{t}_{1}}=\frac{x/2}{30},\,\,{{t}_{2}}=\frac{x/2}{50}\] \[\Rightarrow \] \[{{V}_{av}}=\frac{x}{\frac{x}{30}+\frac{x}{2\times 50}}\] \[{{V}_{av}}=\frac{2\times 30\times 50}{30+50}=37.5\,km/h\].
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