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Option 3 : 8.5 days
Given,
P's 1 day’s work = 1/12
Q's 1 day's work = 1/24
R's 1 day's work = 1/24
(P + Q)’s 1 day's work = 1/12 + 1/24 = 1/8
(P + Q + R)’s 1 day's work = 1/12 + 1/24 + 1/24 = 1/6
First two days’ work = 1/12 + 1/24 = 1/8
(P + Q)’s 5 days’ work = 5/8
Total work completed by P and Q in 7 days =
= 5/8 + 1/8
= 3/4
Remaining work = 1 – 3/4 = 1/4
Number of days taken by P, Q and R to complete the work =
= 1/4 × 6
= 3/2
Total number of days = 7 + 1.5 = 8.5 days
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