Question
Download Solution PDFA man goes to Ahmedabad from Kolkata at a speed of 9 km/hr and returns to Kolkata at speed of 18 km/hr, through same route. What is his average speed (in km/hr) of the entire journey?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A man goes to Ahmedabad from Kolkata at a speed of 9 km/hr and returns to Kolkata at a speed of 18 km/hr, through the same route.
Formula used:
Average Speed = \(\dfrac{2ab}{a + b}\)
Where,
a = speed from Kolkata to Ahmedabad = 9 km/hr
b = speed from Ahmedabad to Kolkata = 18 km/hr
Calculation:
Average Speed = \(\dfrac{2 \times 9 \times 18}{9 + 18}\)
⇒ Average Speed = \(\dfrac{2 \times 9 \times 18}{27}\)
⇒ Average Speed = \(\dfrac{324}{27}\)
⇒ Average Speed = 12 km/hr
∴ The correct answer is option 4.
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