A bee flies from a petunia to a marigold at an average speed of 3 meters per second. Immediately upon reaching the marigold the bee turns around and flies back to the petunia at an average speed of 6 meters per second, following his original path. What was the bee's average speed for the round trip?Group of answer choices3 meters per second4 meters per second4.5 meters per second6 meters per second
Question
A bee flies from a petunia to a marigold at an average speed of 3 meters per second. Immediately upon reaching the marigold the bee turns around and flies back to the petunia at an average speed of 6 meters per second, following his original path. What was the bee's average speed for the round trip?Group of answer choices3 meters per second4 meters per second4.5 meters per second6 meters per second
Solution
The average speed of a round trip is calculated by dividing the total distance by the total time.
Let's assume the distance between the petunia and the marigold is D meters.
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When the bee flies from the petunia to the marigold at an average speed of 3 meters per second, the time it takes is D/3 seconds.
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When the bee flies back from the marigold to the petunia at an average speed of 6 meters per second, the time it takes is D/6 seconds.
The total distance of the round trip is 2D (D meters to the marigold and D meters back to the petunia).
The total time of the round trip is D/3 + D/6 = D/2 seconds.
So, the average speed for the round trip is total distance / total time = 2D / (D/2) = 4 meters per second.
Therefore, the bee's average speed for the round trip was 4 meters per second.
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