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A man covers half of his journey at 6 km/h and the remaining half at 3 km/h. His average speed is

a) 9 km/h
b) 4.5 km
c) 4 km/h
d) 3 km/h

Answer: c
Explanation:
$$\eqalign{ & {\text{Average}}\,{\text{speed}} \cr & = \frac{{2xy}}{{ {x + y} }} \cr & = \frac{{2 \times 6 \times 3}}{{ {6 + 3} }} \cr & = \frac{{36}}{9} \cr & = 4\,{\text{kmph}} \cr} $$

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