Question
Akhil and Nikhil together can complete a work in 10 days
while Nikhil alone takes 15 days to complete 30% 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 = 15/0.30 = 50 days Let the total work = 50 units Efficiency of (Akhil + Nikhil) = 50/10 = 5 units/day Efficiency of Nikhil = 50/50 = 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 = 50/5 = 10 days
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