Question 1206862
<pre>
In 8 minutes, a conveyor belt can move 1,000 bushels of corn into a storage bin. A smaller belt can move 1,000 bushels to the storage bin in 14 minutes. If both belts are used, how long will it take to move 1,000 bushels to the storage bin?

As the 1,000 bushels is considered a SINGLE job, you CERTAINLY don't need to include the 1,000 bushels
in your calculations as the other person did.  


Let the time it takes both belts to do the 1 job (move 1,000 bushels into the storage bin), be T. 
Since the faster belt takes 8 minutes to do the job, it does {{{(1/8)^th}}} of the job in 1 minute
Since the slower belt takes 14 minutes to do the job, it does {{{(1/14)^th}}} of the job in 1 minute
We then get: {{{matrix(1,3, 1/8 + 1/14, "=", 1/T)}}}
            7T + 4T = 56 ----- Multiplying by LCD, 56T
                11T = 56
Time it takes both belts to do the job (move 1,000 bushels into the storage bin), or {{{highlight_green(matrix(1,5, T, "=", 56/11, "=", highlight(matrix(1,2, 5&1/11, minutes))))}}}</pre>