Please help with Algebra 1 questions. I can graph it I just can't come up with a linear equation from this word problem.

Question

The OOCL Shenzhen, one of the world's largest container ships, carries 8063 TEUs (1280 cubic feet containers).  Workers can unload a ship at a rate of a TEU every minute.  Using the rate, write and graph an equation to determine how many hours it will take the workers to unload half of the containers from the Shenzhen.

Answer 1

one crate a minute is 60 crates and hour.

one-half of the ship is 4031.5 crates

4031.5 = 60t

 

Can you solve to t? 

Answer 2

 

We know that the unload rate is one container per minute.

We are being asked how many hours it will take to unload half the containers.

 

Therefore, we can make the following equation:

 

Rate of removal (containers per minute) * total time = number of containers removed

 

Let x = rate of removal = 1 container per minute

Let y = total time

Let z = number of containers removed

 

x * y = z

1 * y = 8063/2

y = 4031.5

 

Therefore it will take 4031.5 minutes to unload half of the containers.

 

The question asks for the time in hours, and there are 60 minutes in an hour, so just divide by 60:

 

67.19 hours