Question : Rajinder drives his car at an average speed of 40 km/hr to cover half of his total distance and thereafter he increases his speed to 60 km/hr. He covers his journey in 7 hours. What is the average speed of Rajinder on this journey?
Option 1: 52 km/hr
Option 2: 48 km/hr
Option 3: 50 km/hr
Option 4: 54 km/hr
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Correct Answer: 48 km/hr
Solution :
Let the total distance covered by Rajinder = $2x$ km
Time taken to travel half distance = $\frac{x}{40}$
Time taken to travel other half distance = $\frac{x}{60}$
Average speed = $\frac{\text{Total distance travelled}}{\text{Total time taken}}$
= $\frac{2x}{\frac{x}{40}+\frac{x}{60}}$
= $\frac{2×40×60}{40+60}$
= 48 km/hr
Hence, the correct answer is 48 km/hr.
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