Question
P alone can finish a piece of work βMβ in 6 days
while Q takes 4 days to finish it alone. P, Q and R working together can finish the work βNβ which is 10 times of work βMβ in 8 days. How long will R take to finish work βNβ, when working alone?Solution
Β Let the work βMβ = 12 units (LCM of 6 and 4) Efficiency of P = 12/6 = 2 units Efficiency of Q = 12/4 = 3 units Efficiency of P, Q and R = (12 Γ 10)/8 = 15 units per day Efficiency of R = 15 β (2 + 3) = 10 units per day Time taken by R to finish work βNβ = 120/10 = 12 days
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