P, Q, R can do a piece of work in 40 days, 90 days and 36 days, respectively. P started the work. Q joined him after 7 days. If R joined them after 8 days from the beginning, then for how many days did R work?

1
\(11\frac{8}{{23}}\)
2
\(12\frac{8}{{23}}\)
3
\(15\frac{8}{{23}}\)
4
\(13\frac{8}{{23}}\)

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