A furniture manufacturer has two machines, but only one can be used at a time. Machine P is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine P can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule? Choose the correct choice from the following answers:
A) 14	B) 13	C) 11	D) 9	E) 7
machine P finish the job in 2*12= 
<gadget id="calculator">2*12</gadget>
<output>24</output>
24 shifts   machine B finish the job in   2*15= 
<gadget id="calculator">  2*15</gadget>
<output>30</output>
30 shifts   Lets assume total work require 120 shifts   Therefore,   rate of P= 5 shifts/day   rate of B = 4 shifts/day   rate of (P+B) = 9 shifts/day   According to current schedule work complete in a day = 5+4+(9/2)= 
<gadget id="calculator">5+4+(9/2)</gadget>
<output>27/2 = around 13.5</output>
13.5 shifts/day   Therefore, Time required to finish 120 shifts= (120/13.5) = 8.88.. days ~ 9 days=9
<result>D</result>
A furniture manufacturer has two machines, but only one can be used at a time. Machine P is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine P can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?