Working alone at its own constant rate, a machine seals k cartons in 8 hours, and working alone at its own constant rate, a second machine seals k cartons in 4 hours. if the two machines, each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate? a. 25%b. 3313%c. 50%d. 6623%e. 75%

Step-by-step explanation:

Given,

The number of cartons = k,

Time taken by machine a = 8 hours,

So, the number of cartons made by machine a in one hour

=

=

Time taken by machine b = 4 hours ,

So, the number of cartons made by machine b in one hour

=

Total cartons made in 1 hour =

∵ for the whole number value of k,

i.e.  machine b is faster,

Also, the percent of the cartons were sealed by the machine b

Hence, OPTION D is correct.

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step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.