Question : A man drives his car for 24 km at a speed of 48 km/hr and for the next 1.5 hours, he drives at a speed of 80 km/hr. Find his average speed (in km/hr) for the entire journey.
Option 1: 64
Option 2: 72
Option 3: 68
Option 4: 75
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Correct Answer: 72
Solution : Average speed = $\frac{\text{Total distance}}{\text{Total time}}$ Time taken to travel the distance of 24 km with a speed of 48 km/hr $ = \frac{24}{48}= \frac{1}{2}= 0.5$ hr The man drives for the next 1.5 hours he drives at a speed of 80 km/hr ∴ Distance travelled in 1.5 hours with a speed of 80 km/hr $= 80\times 1.5 = 120$ km ∴ Total distance travelled = $24$ km + $120$ km = $144$ km And the total time taken = $0.5$ hour + $1.5$ hour = $2$ hour $\therefore $ Average speed = $\frac{144}{2} = 72$ km/hr Hence, the correct answer is 72.
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