Mathematics · Time and Work
Four persons, P, Q, R, and S, were engaged for doing a task on the condition that P, Q, R, and S work, respectively, on (Mondays, Thursdays); (Tuesdays, Fridays); (Wednesdays, Saturdays); and (Sundays). The task began on a Monday and got completed on the 15th day, which was also a Monday. If the efficiencies of P, Q, R, and S in performing this task were in the proportion 1 : 2 : 3 : 4, then in how many days could R complete the task working alone without a break?
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