This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.

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20 days
Let the work rates (fractions of work per day) of the father, mother, son, and daughter be , , , and respectively.
Step 1: Given that father and mother together complete the work in 12 days.
Step 2: Given that son and daughter together complete the work in 15 days.
Step 3: Given that father and son together complete the work in 10 days.
Step 4: Adding the rates from Steps 1 and 2 gives the combined rate of all four.
Find a common denominator of 60:
So,
Step 5: The combined rate of mother and daughter is the total rate minus the father and son rate from Step 3.
Convert to twentieths:
Step 6: Time taken by mother and daughter together is the reciprocal of their combined rate.
20 days
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Let the work rates (fractions of work per day) of the father, mother, son, and daughter be F, M, S, and D respectively.
This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.