Question
Akhil and Nikhil together can complete a work in 12 days
while Nikhil alone takes 18 days to complete 25% 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 = 18/0.25 = 72 days Let the total work = 72 units Efficiency of (Akhil + Nikhil) = 72/12 = 6 units/day Efficiency of Nikhil = 72/72 = 1 units/day Efficiency of Akhil = 6 - 1 = 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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