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.
<h3>What is the formula used to calculate Time Equation?</h3>
- To calculate the time equation use the formula for time, t = d/s which means time equals distance divided by speed.
<h3>Find the height using the Time Equation?</h3>
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
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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?
