Question
Working together, Amit and Pawan can finish a task in
22.5 days, and Pawan and Chirag can complete 60% of the same task in 14.4 days. Given that Amit is 12.5% more efficient than Chirag, determine the time Amit requires to complete 62.5% of the work.Solution
ATQ, Let, total amount of task = 360 units Time taken by ‘Pawan’ and ‘Chirag’ together to complete the task = 14.4/0.60 = 24 days Efficiency of ‘Amit’ and ‘Pawan’ together = 360/22.5 = 16 units per day Efficiency of ‘Pawan’ and ‘Chirag’ together = 360/24 = 15 units per day Let efficiency of ‘Chirag’ is ‘8x’ units per day So, efficiency of ‘Amit’ = 1.125 × 8x = 9x units per day So, 9x – 8x = 16 – 15 Or, x = 1 So, efficiency of ‘Amit’ = 9x = 9 units per day Desired time = (0.625 × 360)/9 = 25 days
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