SOLUTION: In 2 minutes, a conveyor belt moves 200 pounds of aluminum cans to a storage area. A smaller belt moves the same amount in 5 minutes. If both belts are used, how long does it take

Algebra.Com
Question 408163: In 2 minutes, a conveyor belt moves 200 pounds of aluminum cans to a storage area. A smaller belt moves the same amount in 5 minutes. If both belts are used, how long does it take the cans to move?
Found 2 solutions by katealdridge, ewatrrr:
Answer by katealdridge(100)   (Show Source): You can put this solution on YOUR website!
200 pounds per 2 minutes = 200/2 = 100 pounds/minute
200 pounds per 5 minutes = 200/5 = 40 pounds/minute
So if they work together, then every minute 100+40 pounds will be moved.
140 pounds/minute
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

Let x represent the time in minutes using both

Question states*** per minute being the Equalizer

  1/2 + 1/5 = 1/x |multiplying thru by 10x so as all denominators= 1

   5x + 2x = 10

    7x = 10

     x = 10/7 OR  1 3/7 minutes, the time in minutes using both belts

  

RELATED QUESTIONS


hello i really need help, this is the problem: In 2 ​minutes, a conveyor belt moves  (answered by josgarithmetic,Alan3354)

In 2 minutes a conveyor belt moves 800 pounds of aluminum from the delivery truck to a... (answered by TimothyLamb)

In 5 min a conveyor belt moves 400 pounds of cans to a storage area. A smaller belt moves  (answered by josmiceli)

In three minutes a conveyor belt moves 800 pounds of recyclable aluminum from a delivery... (answered by Alan3354)

In 5 minutes, a conveyor belt moves 900 pounds of recyclable aluminum from the delivery... (answered by jorel1380)

In 5 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery... (answered by stanbon)

In 9 ​minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the... (answered by josmiceli)

In 2 mins. a conveyor belt moves 300 lbs of aluminum from the delivery truck to a storage  (answered by oberobic)

Problem:  In 2 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the... (answered by ankor@dixie-net.com)