The question asks for the average speed of a round trip journey from Visakhapatnam to Nagpur and back. To find this, we can use the formula for average speed when the distance is the same in both directions:
\text{Average Speed} = \frac{2 \cdot v_1 \cdot v_2}{v_1 + v_2}
where:
- v_1 is the speed from Visakhapatnam to Nagpur: 24 km/hr
- v_2 is the speed from Nagpur back to Visakhapatnam: 40 km/hr
Substitute the given speeds into the formula:
\text{Average Speed} = \frac{2 \cdot 24 \cdot 40}{24 + 40}
Calculate the expression:
\text{Average Speed} = \frac{2 \cdot 960}{64}
= \frac{1920}{64}
= 30 \text{ km/hr}
Thus, the average speed for the entire journey is 30 km/hr.
The correct answer is 30.
Important Questions from Average Speed
Daksh travels 168 km at 21 km/hr, the next 100 km at 20 km/hr and the next 371 km at 53 km/hr. What is his average speed (in km/hr) for the whole journey?
- Rishi travels 585 km at 65 km/hr, the next 368 km at 92 km/hr and the next 168 km at 56 km/hr. What is his average speed (in km/hr) for the whole journey? (Round off your answer to two decimal places)
A man goes to Indore from Bhopal at a speed of 9 km/hr and returns to Bhopal at speed of 18 km/hr, through the same route. What is his average speed (in km/hr) of the entire journey?
- A woman travels 488 km at 61 km/hr, a second distance of 468 km at 78 km/hr and a third distance of 210 km at 35 km/hr. Find her average speed for the whole journey (in km/hr).
- A woman travelled at a speed of 20 m/min for 90 min, and at a speed of 70 m/min for 60 min. Her average speed (in m/min) for the entire journey is:
