Discussion
Pratik travels 96 km at a speed of 16 km/hr using a bike, 124 km at 31 km/h by car and another 105 km at 7 km/h in horse cart. Then, find his average speed for the entire distance travelled?
Answer: C
Add the distances and the times separately.
\[ \text{distance} = 96 + 124 + 105 = 325 \text{ km} \]
\[ t = \frac{96}{16} + \frac{124}{31} + \frac{105}{7} = 6 + 4 + 15 = 25 \text{ h} \]
\[ \bar{v} = \frac{325}{25} = 13 \text{ km/hr} \]
Averaging the three speeds gives 18 km/hr, well above the truth - the slow 7 km/hr leg accounts for 15 of the 25 hours.
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