Question
Akhil and Nikhil together can complete a work in 9 days
while Nikhil alone takes 12 days to complete 50% of the work. If the efficiency of Sachin is 20% more than that of Akhil, then find the time taken by Sachin alone to complete the whole work.Solution
Time taken by Nikhil to complete the whole work alone = 12/0.50 = 24 days Let the total work = 72 units Efficiency of (Akhil + Nikhil) = 72/9 = 8 units/day Efficiency of Nikhil = 72/24 = 3 units/day Efficiency of Akhil = 8 - 3 = 5 units/day Therefore efficiency of Sachin = 1.20 x 5 = 6 units/day Time taken by Sachin to complete the whole work alone = 72/6 = 12 days
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