Question
Anand and Manav can collaboratively finish a task in
{40/3} days, while Anand alone requires 24 days to complete the same task. Given that Prachi's efficiency is 25% lower than Manav's, determine the number of days it will take Prachi to complete the work on her own.Solution
Let the total work be 120 units (LCM of (40/3) and 24) . Combined efficiency of Anand and Manav together = 120 ÷ (40/3) = 9 units/day Efficiency of Anand = (120/24) = 5 units/day So, efficiency of Manav = 9 - 5 = 4 units/day Efficiency of Prachi = 0.75 X 4 = 3 units/day Required time taken = (120/3) = 40 days
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