Question

A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 11 ​minutes, and then flies directly back to the hive at 6 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.

Answer 1

Answer:

(a)

Equation is $\frac{d}{10} +\frac{d}{6} =240$

(b)900ft

Step-by-step explanation:

Let the distance of flower bed from hive to be d

Time the bee stays at the flower bed=11

Time the bee is away from the hive=15

Time the bed was flying to the flower bed and back to the hive will be;

15 -11=4 minutes--------------changes to seconds by multiplying by 60

=4*60=240 seconds

Formular for time is Distance/speed

Time of fright=240 seconds

Form expression for time of flying;

Time for flying from hive to flowerbed= d/10ft/s

Time for flying from flower bed to Hive= d/6ft/s

=This means

$=\frac{d}{10} +\frac{d}{6} =240\\\\\\=\frac{3d+5d}{30} =240\\\\=\frac{8d}{30} =240\\\\\\8d=240*30\\\\\\8d=7200\\\\\\\\d=\frac{7200}{8} =900ft$

(a) Equation is

$\frac{d}{10} +\frac{d}{6} =240$

(b) The flower bed is 900ft away from the hive