Machine P takes 40 hours longer than machine Q to produce 1080 Widgets. Machine Q produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine P produce	Choose the correct option
A) 100
B) 65
C) 2.5
D) 11
E) 4.5
Machine Q produces 20 percent more widgets in an hour than machine x does in an hour.   So if machine P produces 100 widgets, then machine Y produces 120 widgets.   Ratio of 120/100 = 6/5.   This is their speed of work (Q:P).   i.e. speed of their work (P:Q) = 5/6   Now, time is inversely proportional to speed.   Hence the ratio of the time spent (P:Q)= 6/5   Let us assume that they spend 6x and 5x hours.   Given that 6x-5x = 40   So, x = 40.   Hence 6x = 6*40= 
<gadget id="calculator">6*40</gadget>
<output>240</output>
240 hours.   Hence P takes 240 hours to produce 1080 widgets.   So, in 1 hour, it can produce  (1 * 1080)/240= 
<gadget id="calculator"> (1 * 1080)/240</gadget>
<output>9/2 = around 4.5</output>
4.5   Hence option (4.5).
<result>E</result>
Machine P takes 40 hours longer than machine Q to produce 1080 Widgets. Machine Q produces 20 percent more widgets in an hour than machine x does in an hour. How many widgets per hour does machine P produce