Answer:
The equation we can use to find the distance is 20 x = 12*(120-x)
The distance between hive and flower bed is 900 feet.
Step-by-step explanation:
Bee flies at 20 feet per second directly to a flowerbed from its hive.
It means forward speed is 20 feet/sec
The bee stays at the flowerbed for 18 mins
Then flies directly back to the hive at 12 feet per second.
So backward speed is 12 feet/second
It is away from the hive fore 20 minutes total
so,
total time = forward time + backward time + stay time
The bee stays at the flower bed for 18 minutes,
20 =forward time+backward time+18
20-18 = forward time+ backward time
2 mins = forward time+ backward time
Convert mins into seconds..
2*60= forward time+ backward time
120 seconds = forward time+ backward time
Part A:
Lets assume that forward time = x.
Backward time = 120-x
We know that
distance = speed*time
d= forward speed*forward time
d = 20*x
d= backward speed* forward time
d = 12*(120-x)
20 x = 12*(120-x)
The equation we can use to find the distance is 20 x = 12*(120-x)
Part B:
20 x= 12(120-x)
20 x = 1440-12 x
Combine the like terms:
20 x+12 x = 1440
32 x = 1440
Divide both sides by 32
32 x/32 = 1440/32
x = 45
Now we can find distance
d = 20*45
d = 900
The distance between hive and flower bed is 900 feet.
