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Let the total distance it travelled be 2x.
Time taken to travel first half = x/v1
Time taken to travel second half = x/v2
Therefore, average speed = 2x/(x/v1 + x/v2)
= 2(1/v1 + 1/v2) = 2×v1×v2/(v1+v2)
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please refer to the attachment
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