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A bee flies at 9 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 6 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 flowerbed

a. Write a equation let d be the distance of the flowerbed from the hive

Respuesta :

Answer:

Below in bold.

Step-by-step explanation:

a. Distance = speed * time

d = st  

So substituting in the given values:

d = 9t where t is the time it takes to travel from the hive to the flowerbed.

The total time that the bee is inflight = 19 - 16 = 3 minutes

= 180 seconds.

So for the return flight the time taken is (180-t) seconds.

So d = 6(180 - t).

and  we can find the distance  from the hive to flowerbed by solving the the 2 equations highlighted.

b,      d = 9t

         d = 6(180 - t).

Therefore:

9t  = 6(180 - t)

9t = 1080 - 6t

9t + 6t = 1080

15t = 1080

t = 72 seconds

So Distance d = 9*72

=  648 ft.

c.  d =  9t.

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