A person covered 50% of a certain distance at 2 km/h, 25% of the distance at 4 km/h and the remaining distance at 8 km/h. His average speed (in km/h) for the entire journey was:
32/11
The correct answer is 32/11.
Calculating the Average Speed The formula for average speed is: Average Speed = Total Distance / Total Time Substituting the values we found: Average Speed $= \frac{D}{T}$ Average Speed $= \frac{D}{\frac{11D}{32}}$ To simplify, we multiply the distance $D$ by the reciprocal of the total time: Average Speed $= D \times \frac{32}{11D}$ Average Speed $= \frac{32}{11}$ km/h. The person's average speed for the entire journey is $\frac{32}{11}$ km/h.
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