Question : A jeep travels to a place 300 km away at an average speed of 60 km/hr and returns at a speed of 30 km/hr. What is the average speed (in km/hr) for the whole journey?
Option 1: 75
Option 2: 80
Option 3: 40
Option 4: 60
Correct Answer: 40
Solution :
Distance for one-way journey = 300 km/hr
Average speed for the first part of the journey = 60 km/h
Average speed for the return part of the journey = 30 km/hr
We know, Time = $\frac{\text{Distance}}{\text{Speed}}$
So, Time taken for first part of journey = $\frac{300}{60}$ = 5 hr
Time taken for return part of journey = $\frac{300}{30}$ = 10 hr
Now, Average speed = $\frac{\text{Total distance}}{\text{Total time}}$ = $\frac{300+300}{5+10}$ = 40 km/hr
Hence, the correct answer is 40 km/hr.
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