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Explanation:
Adam alone finishes 3\5th of the work in 15 days.
He can finish the whole work in 25 days.
Therefore, Pat alone can finish the entire work in 2\5×2 = 50 days [As Pat is half as efficient as Adam]
Or Adam and Pat working together will complete the remaining 2\5th of the work in 2\5[25×50\25+50]=20\3 = 6.67 days
Therefore, the whole work can be completed in 15 + 6.67 = 21.67 days