A can finish a work in 18 days b can do the same work in half the time taken by age and working together what part of the same work and they finish in a day
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a finish work in 18 days
b finish work in in 9 days
So In one day a can do 1/18 part of work
And b can be 1/9 part of work
so total part of work done by both together
![\frac{1}{18} + \frac{1}{9} \\ \frac{1 + 2}{18} = \frac{3}{18 } \\ \frac{1}{6} \: part \: of \: work \frac{1}{18} + \frac{1}{9} \\ \frac{1 + 2}{18} = \frac{3}{18 } \\ \frac{1}{6} \: part \: of \: work](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B18%7D++%2B++%5Cfrac%7B1%7D%7B9%7D++%5C%5C++%5Cfrac%7B1+%2B+2%7D%7B18%7D++%3D++%5Cfrac%7B3%7D%7B18+%7D+%5C%5C++%5Cfrac%7B1%7D%7B6%7D++%5C%3A+part+%5C%3A+of+%5C%3A+work)
b finish work in in 9 days
So In one day a can do 1/18 part of work
And b can be 1/9 part of work
so total part of work done by both together
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