Question

A bee flies at 9 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 17 ​minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 19 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?

Answer 1

The distance is 864 m.

What is the distance?

Speed of the bee when it travels from hive to flowerbed = 9 ft/s

Speed of the bee when it travels from flowerbed to hive = 6 ft/s

The time taken for the bee to travel from hive to flowerbed = t1

The time taken for the bee to travel from flowerbed to hive = t2

Time the bee remained in the flower bed = 17 minutes

Time the bee was away from the hive = 19 minutes

Time to go the the flowerbed and return = 19 - 17 = 2 minutes or 120 seconds

t1 + t2 = 120

t1 = 120 - t2

distance = speed * time

9t1 = 6t2

9(120 - t2) = 6t2

t2 = 144 s

Distance = 6 * 144 = 864 m

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