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ATQ,
Let total work = 100 units. {LCM (20 and 50)}
Combined efficiency = 100 ÷ 20 = 5 units/day
Efficiency of 'P' = 100 ÷ 50 = 2 units/day
Efficiency of 'Q' = 5 - 2 = 3 units/day
Time taken by 'Q' alone = 100 ÷ 3 = (100/3) days
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