Question : Two cities, Delhi and Jaipur, are 360 km apart. A car goes from Delhi to Jaipur at a speed of 80 km/h and returns to Delhi from Jaipur using the same route at a speed of 120 km/h. What is the average speed of the car?
Option 1: 92 km/h
Option 2: 84 km/h
Option 3: 88 km/h
Option 4: 96 km/h
Correct Answer: 96 km/h
Solution :
Distance between Delhi and Jaipur = 360 km
The speed of the car ($x$) from Delhi and Jaipur = 80 km/h
The speed of the car($y$) from Delhi and Jaipur = 120 km/h
Average speed = $\frac{2\times x \times y}{x + y} = \frac{2\times 80 \times 120}{80 + 120}$ = 96 km/h
$\therefore$ The average speed of the car is 96 km/h.
Hence, the correct answer is 96 km/h.
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