Question : A student walked 6 km from his house to reach the metro station, then boarded a metro that had an average speed of 60 km/hr, and reached the destination. It took 3 hours for the entire journey. If the average speed of the entire journey is 32 km/hr, then the speed of walking is ________.
Option 1: 1.5 km/hr
Option 2: 3 km/hr
Option 3: 2 km/hr
Option 4: 4 km/hr
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Correct Answer: 4 km/hr
Solution :
Total distance travelled by him = $32 \times 3 = 96\ \mathrm{km}$
Distance covered on metro = $96 - 6 = 90\ \mathrm{km}$
Time taken by the metro to cover 90 km = $\frac{90}{60} = 1.5\ \mathrm{hours}$
Remaining time = $3 - 1.5 = 1.5\ \mathrm{hours}$
Speed of walking = $\frac{6}{1.5}$ = 4 km/hr
Hence, the correct answer is 4 km/hr.
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