Question
Alok finishes 60% of a project in 30 days, while Neha
finishes 20% of the same in 15 days. Alok worked for 25 days and then stopped. Find the time taken by Neha to complete the remaining project.Solution
ATQ,
Alok’s total time = 30 / 0.60 = 50 days
Neha’s total time = 15 / 0.20 = 75 days
Total work = LCM(50, 75) = 150 units
Efficiency of Alok = 150 / 50 = 3 units/day
Efficiency of Neha = 150 / 75 = 2 units/day
Work done by Alok = 25 × 3 = 75 units
Remaining work = 150 - 75 = 75 units
Time by Neha = 75 / 2 = 37.5 days
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