A man walks from point A to B at an average speed of 1.0 m/sand immediately returns at an average speed of 1.5 ms-1 .What is theaverage speed for the round trip?A. 0.33 m/sB. 1.20 m/sC. 1.25 m/sD. 2.50 m/s
Question
A man walks from point A to B at an average speed of 1.0 m/sand immediately returns at an average speed of 1.5 ms-1 .What is theaverage speed for the round trip?A. 0.33 m/sB. 1.20 m/sC. 1.25 m/sD. 2.50 m/s
Solution
The average speed for a round trip is calculated by dividing the total distance by the total time.
Let's assume the distance between point A and B is d (it doesn't matter what the actual distance is, as it will cancel out in the calculation).
- The time taken to go from A to B at a speed of 1.0 m/s is d/1.0 = d seconds.
- The time taken to return from B to A at a speed of 1.5 m/s is d/1.5 = 2d/3 seconds.
So, the total time for the round trip is d + 2d/3 = 5d/3 seconds.
The total distance for the round trip is 2d (d to go from A to B and d to return from B to A).
Therefore, the average speed for the round trip is total distance / total time = 2d / (5d/3) = 1.2 m/s.
So, the correct answer is B. 1.20 m/s.
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