SOLUTION: A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 minutes and then flies directly back to the hive at 8 feet per secon

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Question 1163908: A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 minutes and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 19 minutes.
a) What equation can you use to find the distance of the flowerbed from the hive?
b) How far is the flowerbed from the hive?
c) Write the equation. Let D be the distance of the flowerbed from the hive.
(** Use integers or fractions for any numbers in the equation. Do not simplify.)

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)   The equation is so called "time equation"

          D%2F12 + 16*60 + D%2F8 = 19*60  seconds




(b)  To determine the distance D, solve the equation

          D%2F12 + D%2F8 = 19*60 - 16*60 = 3*60,

           
     multiply both sides by 24

          2D + 3D  = 3*60*24

          5D       = 4320

          D        = 4320/5 = 864 ft.      ANSWER


(c)   I just answered all questions.

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In my previous version, I missed dimensions, using minutes instead of seconds.

Thanks to tutor @greenestamps, who noticed this inconsistency.

I corrected it, and now you see the corrected version.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


For tutor @ikleyn....

Oops...!

The 8 and 12 are feet per second....