Question

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?

Answer 1

Kindly check explanation

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