Respuesta :
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:
https://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?
