Help finding x plz

If you can do this I will crown u brainliest master :-)

the answer is 33 :)

Step-by-step explanation:

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.