Question

A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 17 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 22 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. (Type an equation. Use integers or fractions for any numbers in the equation. Do not simplify.)

Answer 1

a.

17 minutes is equivalent to 17*60 = 1020 seconds

22 minutes is equivalent to 22*60 = 1320 seconds

d: distance of the flowerbed from the hive. (in feet)

speed = distance/time

then, time = distance/speed

The bee spends some time travelling to the flowerbed, then staying at the flowerbed and finally travelling back to the hive. This can be expressed as follows:

d/12 + 1020 + d/8 = 1320

b. Solving for d:

2d/24 + 3d/24 = 1320 - 1020

5d/24 = 300

d = 300*24/5

d = 1440 ft