Question

2a A person starts walking at a constant speed of 2.3m/s in a straight line from point A to point B. At point B, she turns around and walks back to point A at a speed of 1.1m/s. What was her average speed for the entire trip in m/s?​

Answer 1

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Answer 2

Given: A person starts walking at a constant speed of 2.3 m/s in a straight line from point A to point B. At point B she turns around and walks back to point A at a speed of 1.1 m/s

To find: Average speed for entire trip

Explanation: Let distance between A and B be s.

When she goes from A to B,

Time taken = Distance travelled/ Speed

= s/ 2.3

When she goes from B to A,

Time taken= Distance travelled/ Speed

= s/1.1

Total distance travelled= s+s= 2s

Total time taken:

=$\frac{s}{2.3} + \frac{s}{1.1}$

=$\frac{1.1s + 2.3s}{1.1 \times 2.3}$

=$\frac{3.4s}{2.53}$

Average speed= Total distance/ Total time

= 2s / (3.4s/2.53)

= 1.48 m/s

Therefore, the average speed of the whole journey is 1.48 m/s.