Question

A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 11 ​minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 13 minutes.
a. What equation can you use to find the distance of the flowerbed from the​ hive?
b. How far is the flowerbed from the​ hive?

1. a) The equation that can be used to find the distance of the flowerbed from the hive is d = (7 · t + 26) / 2, where t is in seconds and d is in feet.
b) The flowerbed is 433 feet away from the hive.

### How far is the flowerbed from the hive?

In accordance with the statement, the bee flies from its hive to a flowerbed, stays 11 minutes and flies back to the hive, which means that the bee takes 2 minutes on covering twice the distance between the hive and the flowerbed. Given that the bee flies at constant speed, then we can use the following formula:
2 · d = 20 · t + 13 · (2 – t)
2 · d = 7 · t + 26
d = (7 · t + 26) / 2
d = (7 · 120 + 26) / 2
d = 433 ft
a) The equation that can be used to find the distance of the flowerbed from the hive is d = (7 · t + 26) / 2, where t is in seconds and d is in feet.
b) The flowerbed is 433 feet away from the hive.