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A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 12 minutes, and then flies directly back to the hive at 8

feet per second. It is away from the hive for a total of 15 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.)

Respuesta :

Tundexi

Answer:

a. 15 = d/600 + 12 + d/480

b. 800 feet

Step-by-step explanation:

a. Let distance between hive and flowerbed be "d" feet

Speed of bee during motion from hire to flowerbed = 10ft / sec = (10*60)fit/minute

Speed of bee during reverse motion = 8 ft/sec = (8*60)ft/min

Time which the bee stayed at flower bed = 12 minute

Time of its total journey = 15 minutes

Total Time = Time of travel from hive to flowerbed + Time of staying in flowerbed + Time of reverse travel

15 = d/10*60 + 12 + d/8*60

15 = d/600 + 12 + d/480....................(Required equation)

b. 15 = d/600 + 12 + d/480

d/600 + d/480 = 15 - 12

d/600 + d/480 = 3

4d + 5d  =  3

 2400

9d = 2400 * 3

9d = 7200

d = 7200/9

d = 800 feet

Hence, the flowerbed is 800 feet far from the hive.

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