# A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

$\\ \text{A's 1 day's work} =\frac{1}{15} \\ B's 1 day's work =\frac{1}{20} \\ (\mathrm{A}+\mathrm{B})^{\prime} \mathrm{s} 1 day's work \\ =\left(\frac{1}{15}+\frac{1}{20}\right)=\frac{7}{60} \\ (\mathrm{A}+\mathrm{B}) 's 4 day's work =\left(\frac{7}{60} \times 4\right)=\frac{7}{15} \\ Therefore, Remaining work =\left(1-\frac{7}{15}\right)=\frac{8}{15}.$

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