Question

A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stay at the flowerbed for 13 minutes, and then flies directly back to the hive at 8 feet per
second. It is away from the hive for a total of 18 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?
a. Write the equation. Let d be the distance of the flowerbed from the hive.
0
(Type an equation. Use integers or fractions for any numbers in the equation. Do not simplify.)

Answer 1

The equation that can be use to find the distance of the flowerbed from the hive is 5 = d / 12 + d / 8.

The distance of the flowerbed to the hive is 24 ft.

How to represent equation?

A bee flies at 12 feet per second directly to a flowerbed from its hive.

The bee stay at the flowerbed for 13 minutes, and then flies directly back to the hive at 8 feet per second.

It is away from the hive for a total of 18 minutes.

Therefore,

time the bee use to fly = 18 - 13 = 5 minutes

a.

speed = distance / time

time = distance / speed

The equation that can be use to find the distance of the flowerbed from the hive is as follows:

5 = d / 12 + d / 8

5 = 8d + 12d / 96

480 = 8d + 12d

480 = 20d

d = 480 / 20

d = 24 ft

b. The distance of the flowerbed to the hive is 24 ft.

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