Machine X takes 60 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 most appropriate option:
A) 100
B) 65
C) 25
D) 11
E) 3
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 = 60   So, x = 60.   Hence 6x = 6*60= 
<gadget id="calculator">6*60</gadget>
<output>360</output>
360 hours.   Hence X takes 120 hours to produce 1080 widgets.   So, in 1 hour, it can produce  (1 * 1080)/360= 
<gadget id="calculator"> (1 * 1080)/360</gadget>
<output>3</output>
3   Hence option (3).
<result>E</result>
Machine X takes 60 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