Question

A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 10 ​minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 12 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?

Answer 1

d/10 + 600 + d/6 = 720

450 fts

Explanation:

Given that:

Speed from hive to flowerbed = 10 ft/s

Time used in flowerbed = 10 minutes

Speed from flowerbed to hive = 6ft/s

Total time at which bee is away from hive = 12 minutes

Equation to find distance of flowerbed from hive :

Let distance from hive to flowerbed = d

Time taken = distance / speed

Time taken from hive to flowerbed = d/ 10

Time used in flowerbed = 10 minutes = (10 * 60) = 600 seconds

Time taken from flowerbed to hive = d/6

Total time away from hive = 12 mins = (12 * 60) = 720 seconds

A. What equation can you use to find the distance of the flowerbed from the​ hive?

Distance can be obtained from the formula :

d/10 + 600 + d/6 = 720

B. How far is the flowerbed from the​ hive?

d/10 + 600 + d/6 = 720

Take L. C. M of 10 and 6 = 30

(3d + 18000 + 5d) = 21600

8d + 18000 = 21600

8d = 21600 - 18000

8d = 3600

d = 3600/8

d = 450

Distance of flowerbed from hive = 450 fts