Technicians Work Days

The order required six technicians to complete it in 18 days. How long will it take for one, two, three, four, five, six, eight, ten, and twenty technicians to complete it?

Final Answer:

a₁ =  108 d
a₂ =  54 d
a₃ =  36 d
a₄ =  27 d
a₅ =  21.6 d
a₆ =  18 d
a₈ =  13.5 d
a₁₀ =  10.8 d
a₂₀ =  5.4 d

Step-by-step explanation:

$a_1=\frac{6\cdot 18}{1}=108\text{d}$

$a_2=\frac{6\cdot 18}{2}=54\text{d}$

$a_3=\frac{6\cdot 18}{3}=36\text{d}$

$a_4=\frac{6\cdot 18}{4}=27\text{d}$

$a_5=\frac{6\cdot 18}{5}=\frac{108}{5}\text{d}=21.6\text{d}$

$a_6=\frac{6\cdot 18}{6}=18\text{d}$

$a_8=\frac{6\cdot 18}{8}=\frac{27}{2}\text{d}=13.5\text{d}$

$a_{10}=\frac{6\cdot 18}{10}=\frac{54}{5}\text{d}=10.8\text{d}$

$a_{20}=\frac{6\cdot 18}{20}=\frac{27}{5}\text{d}=5.4\text{d}$

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