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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?

Aug 18, 2020

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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.

!

Aug 18, 2020