Respuesta :
a. The equation to find the distance of the flowerbed from the hive is 5d/24 = 240
b. The distance of the flowerbed from the hive is 1152ft
How to determine the equation
We need to calculate the time taken by the bee to fly to a flower bird to its hive using the formula;
Time = Distance/Speed
If a bee flies at 6 feet per second directly to a flowerbed from its hive, then the time taken by the bee is expressed as;
t1 = d/6 ……. 1
If the bee then flies directly back to the hive at 4 feet per second, the time taken by the bird will be:
t2 = d/4 (2)
Total time taken by the bee to and fro will be the sum total of both times;
t1+t2 = d/6 + d/4
t1+t2 = 4d + 6d /24
t1+t2 = 10d/24 (3)
If the bee stays at the bee stays at the flowerbed for 10 minute and away from the hive for 14 minutes, the total time used by the bird during the journey will be 14-10 = 4 minutes
converting 4 minutes to seconds
4 minutes = 4 × 60 = 240 seconds
The equation that can be used to find the distance of the flowerbed from the hive is gotten by equating equation 3 to the total time used by the bird during the journey i.e;
5d/24 = 240
5d = 24 × 240
5d = 5760
b) To know how far is the flowerbed from the hive, we will solve the resulting equation in a for the value of d as shown
Given 5d = 5760
Divide both sides by 5
5d/5 = 5760/5
d = 1152ft
Hence, the distance of the flowerbed from the hive is 1152ft
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