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A clerical worker takes 4 times as long to finish a job as it does an executive secretary. Working together, it takes them 4 hr to finish the job. How long
the clerical worker, working alone, to finish the job?

A clerical worker takes 4 times as long to finish a job as it does an executive secretary Working together it takes them 4 hr to finish the job How long the cle class=

Respuesta :

Answer:

[tex]\frac{5}{16}[/tex] hours or [tex]18\frac{3}{4}[/tex] minutes

Step-by-step explanation:

[tex]\frac{1}{x} +\frac{1}{4x}= 4\\\\\frac{4}{4x}+\frac{1}{4x} =4\\\\\frac{5}{4x} =4\\\\5=16x\\\\x=\frac{5}{16}[/tex]

Calculating into minutes.

[tex]60*\frac{5}{16}=\\\\\frac{300}{16} =\\\\18\frac{3}{4}[/tex]

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