Question

A babe flies at 10 feet per second directly to a flowerbed from its hive. the bee stays at the flowerbed 12 minutes,and the flies directly back to the the hive 6 feet per second.it is away from the hive for a total of 16 minutes

Answer 1

The equation used to find the distance of the flowerbed from the hive is called the "time equation".

The flowerbed is 900 feet far from the hive.

What is the formula used to calculate Time Equation?

• To calculate the time equation use the formula for time, t = d/s which means time equals distance divided by speed.

Find the height using the Time Equation?

Find the traveling time

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the traveling time is

16min - 12min = 4 min

Convert the Minutes to seconds

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds

Find the time each way

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same

r = 10 m/s

r1 = 6 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

10 m/s *t = 6 m/s (240 - t)      

Remove the brackets on the right.

10 * t = 6*240 - 6t                

Combine the like terms on the right.

10t = 1440 - 6t                        

Add 4t to both sides

10t + 6t = 1440 - 6t + 6t          

Combine

16t = 1440                            

Divide both sides by 16

16t/16 = 1440/16                    

Do the division

t = 90                                    

Find the height

d = ?

r = 10 m/s

t = 90 second

d = r*t

d = 10 * 90 = 900 feet

The flowerbed is 900 feet far from the hive.

To learn more about time equation, refer:

brainly.com/question/26046491

#SPJ4

The complete question is:

A babe 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 6 feet per second. It is away from the hive for a total of 16 minutes.

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