Technicians 8382

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?

Correct 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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