Jonathan and Victoria can finish a job in 13 days. Jonathan can do the job himself in 26 days. if Victoria wanted to do the job alone, how long would it take her?

Guest Aug 18, 2020

#1**+1 **

Jonathan and Victoria can finish a job in 13 days. Jonathan can do the job himself in 26 days. if Victoria wanted to do the job alone, how long would it take her?

\((j+v)\cdot 13days=1\\ 26days\cdot j=1\\ j=\frac{1}{26days}\)

\((\frac{1}{26days}+v)\cdot13days=1\\ v=\frac{1}{13days}-\frac{1}{26days}=\frac{26days-13days}{13\cdot26\ days^2}=\frac{13days}{13\cdot26\ days^2}\)

\(v=\frac{1}{26days}\)

Victoria can also do the job in 26 days.

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asinus Aug 18, 2020