Machine X takes 50 hours longer than machine Y to produce 1080 Widgets. Machine Y produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine X produce  Choose the correct choice from the following choices
A) 100
B) 3.6
C) 25
D) 11
E) 9
Machine Y produces 20 percent more widgets in an hour than machine x does in an hour.   So if machine X produces 100 widgets, then machine Y produces 120 widgets.   Ratio of 120/100 = 6/5.   This is their speed of work (Y:X).   i.e. speed of their work (X:Y) = 5/6   Now, time is inversely proportional to speed.   Hence the ratio of the time spent (X:Y)= 6/5   Let us assume that they spend 6x and 5x hours.   Given that 6x-5x = 50   So, x = 50.   Hence 6x = 6*50= 
<gadget id="calculator">6*50</gadget>
<output>300</output>
300 hours.   Hence X takes 120 hours to produce 1080 widgets.   So, in 1 hour, it can produce  (1 * 1080)/300= 
<gadget id="calculator"> (1 * 1080)/300</gadget>
<output>18/5 = around 3.6</output>
3.6   Hence option (3.6).
<result>B</result>
Machine X takes 50 hours longer than machine Y to produce 1080 Widgets. Machine Y produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine X produce