A bee flies to a flower 583 m due south of its
hive. The bee’s speed in still air is 0.68 m/s,
and there is a wind blowing toward the south
at 0.16 m/s.
How long will it take the bee to travel to
the flower and back to the hive?
Answer in units of s
To find the time it takes for the bee to travel to the flower and back to the hive, we can break down the journey into two separate parts: the journey to the flower and the journey back to the hive.
First, let's calculate the time it takes for the bee to travel to the flower. We can use the equation:
Time = Distance / Speed
The distance from the hive to the flower is given as 583 m. The bee's speed in still air is 0.68 m/s, and since the wind is blowing toward the south at 0.16 m/s, the effective speed of the bee will be the difference between the bee's speed and the wind's speed:
Effective speed = Bee's speed - Wind's speed
Effective speed = 0.68 m/s - 0.16 m/s = 0.52 m/s
Using the equation, we can calculate the time it takes for the bee to travel to the flower:
Time to flower = Distance / Effective speed
Time to flower = 583 m / 0.52 m/s
Time to flower = 1121.15 s
Next, let's calculate the time it takes for the bee to travel back to the hive. The distance from the flower to the hive is the same, 583 m, and the effective speed will remain the same:
Time back to hive = Distance / Effective speed
Time back to hive = 583 m / 0.52 m/s
Time back to hive = 1121.15 s
Finally, we can find the total time it takes for the bee to travel to the flower and back to the hive by adding the individual times:
Total time = Time to flower + Time back to hive
Total time = 1121.15 s + 1121.15 s
Total time = 2242.3 s
Therefore, it will take the bee approximately 2242.3 seconds to travel to the flower and back to the hive.