Question
Akhil and Nikhil together can complete a work in 9 days
while Nikhil alone takes 18 days to complete 40% of the work. If the efficiency of Sachin is 25% 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 = 18/0.40 = 45 days Let the total work = 45 units Efficiency of (Akhil + Nikhil) = 45/9 = 5 units/day Efficiency of Nikhil = 45/45 = 1 units/day Efficiency of Akhil = 5 - 1 = 4 units/day Therefore efficiency of Sachin = 1.25 x 4 = 5 units/day Time taken by Sachin to complete the whole work alone = 45/5 = 9 days
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