Question : Aman goes from A to B at a speed of 40 km/h. Using the same route, he comes back from B to A, at a speed of 55 km/h. What is his approximate average speed for the whole journey?
Option 1: 47.5 km/h
Option 2: 48.11 km/h
Option 3: 46.32 km/h
Option 4: 46.24 km/h
Correct Answer: 46.32 km/h
Solution :
Average Speed = 2$\frac{S_1×S_2}{S_1+S_2}$ for two speeds $S_1$ and $S_2$ if distance is same.
According to the question
$S_1$ = 40 km/h (speed from A to B),
$S_2$ = 55 km/h (speed from B to A).
⇒ Average Speed = $\frac{2×40×55}{40+55}$ = $\frac{400}{95}$ = 46.32
Hence the correct answer is 46.32 km/h
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