P, Q, and R working separately can do a piece of work in 50, 100, and 300 days respectively. If they work on alternate days, P works on the first day, Q works on the second day, R works on the third day and then again P works on the fourth day and so on, then in how many days, the work will be completed?

1
40 days
2
50 days
3
90 days
4
60 days

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