running at their respective constant rate, machine x takes 2 days longer to produce w widgets than machines y. at these rates, if the two machines together produce 5 w / 4 widgets in 3 days, how many days would it take machine x alone to produce 6 w widgets. Choose the correct choice from the following answers.
A) 4	B) 36	C) 8	D) 10	E) 12
<gadget id="calculator">6 * 2</gadget>
<output>12</output>

<gadget id="calculator">12 * 3</gadget>
<output>36</output>

<result>B</result>
running at their respective constant rate, machine x takes 2 days longer to produce w widgets than machines y. at these rates, if the two machines together produce 5 w / 4 widgets in 3 days, how many days would it take machine x alone to produce 6 w widgets.
multiply(multiply(6, 2), 3)
i am getting 12 . e . hope havent done any calculation errors . . approach . . let y = no . of days taken by y to do w widgets . then x will take y + 2 days . 1 / ( y + 2 ) + 1 / y = 5 / 12 ( 5 / 12 is because ( 5 / 4 ) w widgets are done in 3 days . so , x widgets will be done in 12 / 5 days or 5 / 12 th of a widget in a day ) solving , we have y = 4 = > x takes 6 days to doing x widgets . so , he will take 36 days to doing 6 w widgets . answer : b