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P can do a work in 12 days. Q can do the same work in 10 days. If P and Q come together, both of them can complete the same work in how many days?

Solution

Correct Option: 3

Combined one-day work = 112+110=5+660=1160\frac{1}{12} + \frac{1}{10} = \frac{5+6}{60} = \frac{11}{60}. Time taken together = 6011=5511\frac{60}{11} = 5\frac{5}{11} days.

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