Question
Akhil and Nikhil together can complete a work in 15 days
while Nikhil alone takes 20 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 = 20/0.50 = 40 days Let the total work = 120 units Efficiency of (Akhil + Nikhil) = 120/15 = 8 units/day Efficiency of Nikhil = 120/40 = 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 = 120/6 = 20 days
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