X can do a job in 10 days, Y in 15 days. They work together for 4 days. What part of work remains?

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1. **Rates:** X does $1/10$ of the job per day, Y does $1/15$ per day.

2. **Together per day:** $\dfrac{1}{10}+\dfrac{1}{15}=\dfrac{1}{6}$.

3. **Work done in 4 days:** $4	imes\dfrac{1}{6}=\dfrac{2}{3}$.

4. **Remaining work:** $1-\dfrac{2}{3}=\dfrac{1}{3}$. So the remainder is $\dfrac{1}{3}$.

FINAL_ANSWER: d

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