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Conveyor belts A and B load and boxes a minute. Together they load 10 boxes a minute, and A in 3 minutes loads as many as B in 2 minutes. The two conditions are graphed. Read the rates from the graph.

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations
  • AA: 6 boxes/min, B: 4 boxes/min
  • BA: 5 boxes/min, B: 5 boxes/min
  • CA: 2 boxes/min, B: 3 boxes/min
  • DA: 4 boxes/min, B: 6 boxes/min

Step-by-Step Solution

The lines and cross at : check and . So A loads 4 and B loads 6 boxes a minute.
Answer: D) A: 4 boxes/min, B: 6 boxes/min

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