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Option 2 : 4 days
Given:
P can complete a work = 12 days
Q can complete the same work = 16 days
Total time to complete the work = 9 days
Concept:
Fraction of work done = (No. of work done)/(Total no. of days required to complete the work)
Calculation:
Let, Q left after x days.
According to the question,
⇒ x/16 + 9/12 = 1
⇒ (3x +36)/48 = 1
⇒ 3x + 36 = 48
⇒ 3x = 12
⇒ x = 4
∴ Q left after 4 days.
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