Printing machine A and printing machine B print the same newspaper printout, but machine B prints at half the rate of machine A. If each machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours, what is the rate of each printing machine

The answer is below

Step-by-step explanation:

Let us assume the rate of printing in machine A is x per hour and the rate for machine B is y. Given that machine B prints at half the rate of machine A, therefore:

y = (1/2)x                       (1)

Also, both machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours. Therefore:

200/x + 200/y = 4       (2)

Put y = (1/2)x in equation:

Put x = 150 in equation y:

y=(1/2)150 = 75

Therefore the rate of machine A is 150 newspapers per hour while that of machine B is 75 newspapers per hour

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step-by-step explanation: