Question : Reshma covers 45 km at a speed of 15 km/hr by bicycle, 80 km at a speed of 40 km/hr by car, and another 6 km at a speed of 2 km/hr on foot. Find her average speed for the whole journey (correct to 2 decimal places).
Option 1: 16.38 km/hr
Option 2: 43.50 km/hr
Option 3: 18.36 km/hr
Option 4: 15.25 km/hr
Correct Answer: 16.38 km/hr
Solution :
Reshma covers 45 km at a speed of 15 km/hr by bicycle, 80 km at a speed of 40 km/hr by car, and another 6 km at a speed of 2 km/hr on foot.
$\text{Average speed}=\frac{\text{Total distance}}{{\text{Total time}}}$
⇒ $\text{Average speed}=\frac{45+80+6}{\frac{45}{15}+\frac{80}{40}+\frac{6}{2}}=\frac{131}{3+2+3}=\frac{131}{8}=16.38$ km/hr
Hence, the correct answer is 16.38 km/hr.
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