Question

A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 minutes, and then flies directly back to the hive at 6

feet per second. It is away from the hive for a total of 23 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

Explanation:

d = distance from hive to flowers, in feet

flying time = 23 min - 18 min = 5 min = 300 sec

time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec

time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec

d/10 + d/6 = 300 sec

:::::

d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300

d = 300×30/8 = 1,125 ft