Question

A bee flies 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 10 minutes, then flies directly back to the hive at 10 feet per second. It is away from the hive for a total of 20 minutes. How far is the flowerbed from the hive?

Answers

  1. The flowerbed is 48.75 feet away from the hive.

    How far is the flowerdbed from the hive?

    In accordance with the statement, the bee flies at constant speed from a hive to a flowerbed, stays in the flowerbed and flies back to the hive, also at constant speed. We assume that the bee has travelled the same distance in the first and third stages.
    20 = 15 · t₁ + 10 + 10 · t₂    (1)      
    15 / t₁ = 10 / t₂                    (2)
    By (2):
    15 · t₂ = 10 · t₁
    In (1):
    10 = 15 · t₁ + 100 / 15 · t₁
    10 = (65 / 3) · t₁
    t₁ = 6 / 13 min
    And:
    t₂ = 4 / 13 min
    Finally, the distance between the flowerbed and the hive is:
    d = 15 / (4 / 13)
    d = 48.75 ft
    The flowerbed is 48.75 feet away from the hive.
    To learn more on distances: https://brainly.com/question/15172156
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