Question 64
Anil, Deepak and Dinesh together can complete a work in 35 days. Anil and Dinesh together can complete the same work in 60 days. In how many days Deepak alone can complete the same work?
Solution
Let the total work be 420 units (LCM of 35 and 60).
Efficiency of Anil, Dinesh and Deepak together = 420/35 = 12 units per day
Efficiency of Anil and Dinesh together = 420/60 = 7 units per day
Then, Efficiency of Deepak = 12-7 = 5 units per day
Therefore, Deepak can do 420 units of work in 420/5 = 84 days.
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