Two buses and a van were employed to transport a class of students on a field trip. $$\frac{3}{5}$$ of the class boarded the first bus. $$\frac{2}{3}$$ of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down,$$\frac{ 1}{2}$$ of the students on the second bus boarded the first bus. What fraction of the class was on board the first bus?
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A$$\frac{1}{2}$$
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B$$\frac{2}{3}$$
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C$$\frac{11}{15}$$
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D$$\frac{23}{30}$$
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E$$\frac{4}{5}$$
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正确答案: C