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A bee flies at 9 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 19 minutes, and then flies directly back to the five at 6 feetper second. It is away from the hive for a total of 23 minutesWhat equation can you use to find the distance of the flowerbed from the hive?

User WillG
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1 Answer

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hello

to solve this question, we need to work with every intricate details provided

data

distance between flower bed and hive = x

time for the bee to reach the flower bed = x/9 s

note: this is gotten from the formula

velocity = distance / time, so time = speed / velocity

time for bee to reach the flower bed = x / 9 s

time for beed to return to the hive = x / 6 s

the bee spent 19 mins = (19 * 60)s = 1140s

total time the bee spent to and fro = 23 mins (23 * 60) = 1380s

equation for total time =


\begin{gathered} \text{equation for total time spent is} \\ (x)/(9)+1140+(x)/(6)=1380 \end{gathered}

i.e to say to find the total time, we need to add the time the bee spent to go, wait and gone back to it's hive

b

to solve for the distance of the flowerbed from the hive, simply solve for x

to do that, try to eliminate the fractions and make the whole equation into a whole number or simply find the LCM

User DataVader
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