SOLUTION: In 11 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 16 minutes. If both belts are used, ho

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: In 11 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 16 minutes. If both belts are used, ho      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 859173: In 11 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 16 minutes. If both belts are used, how long will it take to move 1,000 bushels to the storage bin?
__________min
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent time for both 

 1%2F11+%2B+1%2F16+=+1%2Fx+    |Multiplying thru by 11*16x so as all denominators = 1

   16x + 11x = 11*16

        27x = 176 

Re Reply: Set Up is the same concept

1%2F8+%2B+1%2F6+-+1%2F10+=+1%2Fx

   60x + 80x - 48x = 480

       92x = 480

         x = 480/92= 120/23 = 5 5/23 hr