a furniture manufacturer has two machines, but only one can be used at a time. machine w is utilized during the first shift and machine b during the second shift, while both work half of the third shift. if machine w 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 choices: A) 14 B) 13 C) 11 D) 9 E) 7
<gadget id="calculator">12 * 2</gadget>
<output>24</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">24 / (3/2)</gadget>
<output>16</output>

<gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>

<gadget id="calculator">15 * 2</gadget>
<output>30</output>

<gadget id="calculator">30 / (3/2)</gadget>
<output>20</output>

<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">(1/16) + (1/20)</gadget>
<output>9/80 = around 0.1125</output>

<gadget id="calculator">1 / (9/80)</gadget>
<output>80/9 = around 8.888889</output>

<result>D</result>
a furniture manufacturer has two machines, but only one can be used at a time. machine w is utilized during the first shift and machine b during the second shift, while both work half of the third shift. if machine w 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?
inverse(add(inverse(divide(multiply(12, const_2), add(const_1, divide(const_1, const_2)))), inverse(divide(multiply(15, const_2), add(const_1, divide(const_1, const_2))))))
' approximately ' could actually make such a question ambiguous . not this one though but a similar question with the answer as 9.2 days . you round off 8.89 days as 9 days and everything is fine in this question . what do you do when you get 9.2 days ? do you need 9 days or 10 days ? can you round off 9.2 as 9 even though that is what you do with numbers ? no , because in 9 days your work is not over . you do need 10 days . to finish a work machine w say you need to work full 9 days and a part of the 10 th day . if i ask you how many days do you need to complete the work , will you say 9 or 10 ? you will say 10 even if you do n ' t use the 10 th day fully = d