Question

A bee flies at 6 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 17 minutes. What equation can you use to find the distance of the flowerbed from the hive?

1. nguyetanh
The equation that can be used to find the distance of the flowerbed from the​ hive is as follows:
10d/24 = 180

### How to find distance?

Distance is the total movement of an object without any regard to direction.
Therefore, distance can be represented mathematically as follows;
speed = distance / time
distance = speed × time
time = distance / speed
Hence, the first journey from the flowerbed to the hive is 6 ft per seconds.
t₁ = d / 6
The second journey.
t₂ = d / 4
The total time the bees use to fly = 17  – 14  = 3 minutes = 180 seconds
Therefore,
t₁ + t₂ = d / 6 + d / 4
t₁ + t₂ = 4d + 6d / 24
t₁ + t₂ =  10d / 24
The equation that can be used to find the distance of the flowerbed from the​ hive is as follows:
10d/24 = 180