working simultaneously and independently at an identical constant rate, 20 machines of a certain type can produce a total of x units of product p in 4 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3 x units of product p in 8 days?
Choose the correct choice from the following options:
A) 30
B) 32
C) 35
D) 38
E) 40
<gadget id="calculator">20 * 3</gadget>
<output>60</output>

<gadget id="calculator">4 / 8</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">60 * (1/2)</gadget>
<output>30</output>

<result>A</result>
working simultaneously and independently at an identical constant rate, 20 machines of a certain type can produce a total of x units of product p in 4 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3 x units of product p in 8 days?
multiply(multiply(20, 3), divide(4, 8))
"the rate of 20 machines is rate = job / time = x / 4 units per day - - > the rate of 1 machine 1 / 20 * ( x / 4 ) = x / 80 units per day ; now , again as { time } * { combined rate } = { job done } then 8 * ( m * x / 80 ) = 3 x - - > m = 30 . answer : a ."