Question

A bee flies at 9 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 13 ​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.

Answer 1

Complete Question

A bee flies at 9 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 13 ​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?

Answer:

The equation is
`960 = (Z)/(9)+ (Z)/(6) + 780`

Explanation:

From the question we are told that

The velocity of the bee is
`v = 9ft/s =`

The duration on the flowerbed is
`t = 13 \ minutes = 780 \ s`

The velocity back to his hive is
`u = 6ft / s`

The total time away from it hive is
`t_t = 16 \ minutes = 960 \ s`

Now let assume the distance of the flower bed from the hive is Z

Generally the time taken for the bee to travel to the flower bed from its hive is

`t_1 = (Z)/(9)`

The time taken for the bee to fly back to his hive is

`t_2 = (Z)/(6)`

Generally the total time the bee spent outside of his house is mathematically represented as

`t_t = t_1 + t_2 + t`

=>
`960 = (Z)/(9)+ (Z)/(6) + 780`