Question : A tourist van travels the distance of 35 km from Dehradun to Mussoorie at an average speed of 36 km/h and returns at 60 km/hr. What is the approximate average speed (in km/hr) of the tourist van for the entire journey?
Option 1: 48
Option 2: 42
Option 3: 45
Option 4: 50
Correct Answer: 45
Solution :
Speed of going = 36 km/hr
Speed of coming = 60 km/hr
We know that,
Average speed = $\frac{\text{2 × (Speed of going) × (Speed of coming)}}{\text{(Speed of going) + (Speed of coming)}}$
= $\frac{2\times36\times60}{36+60}$
= $\frac{4320}{96}$
= 45 km/hr
Hence, the correct answer is 45.
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