Question : P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?
Option 1: 6
Option 2: 3
Option 3: 18
Option 4: 1.5
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Correct Answer: 3
Solution :
Time taken by P to complete a project = 12 days
Time taken by Q to complete a project = 12 days
Work done by P in one day = $\frac{1}{12}$
Work done by Q in one day = $\frac{1}{12}$
Work done by P and Q in one day = $\frac{1}{12}$+$\frac{1}{12}$ = $\frac{1}{6}$
Time taken by P and Q to complete 50% of the project = $\frac{\frac{1}{2}}{\frac{1}{6}}$ = 3 days
Hence, the correct answer is 3.
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