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myanniespencer39
12.10.2020 •
Mathematics
A bee flies at 12 feet per second directly to a flower bed from its hive. The bee stays at the flower bed for 13 minutes then flies directly back to the hive at 8 feet per second. It is always away from the hive for a total of 15 minutes. What equation can you use to find the distance of the flower bed to the hive?
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Ответ:
Kindly check explanation
Step-by-step explanation:
Given that :
Rate of flight = 12 feets per second ; from hive to flower bed
Minutes stayed at flower bed = 13 minutes
Rate of flight = 8 feets per second ; from flower bed to hive
It is always away from the hive for a total of 15 minutes
What equation can you use to find the distance of the flower bed to the hive?
Distance = speed * time
Time = distance / speed
Let distance from flowerbed to hive = d
Time from hive to flower bed = d/12
Time from flower bed to hive = d / 8
Hence, total time taken;
d/12 + 13 + d/8 = 15
Converting minutes to seconds
d/12+ 13*60 + d/8 = 15*60
d/12 + 780 + d/8 = 900
Take the L. C. M
(2d + 18720 + 3d) / 24 = 900
5d + 18720 = 21600
We can also solve for d
5d = 21600 - 18720
5d = 2880
d = 576 feets
Ответ: