Discussion
X can do a work in 15 days and Y in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Answer: D
Work in rates: someone who finishes a job in \( n \) days does \( \tfrac{1}{n} \) of it a day, and rates add.
\[ 4\left(\frac{1}{15} + \frac{1}{20}\right) = 4 \times \frac{4 + 3}{60} = \frac{28}{60} = \frac{7}{15} \]
\[ \text{left} = 1 - \frac{7}{15} = \frac{8}{15} \]
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