Question
A contractor hires 12 workers to complete a project in
20 days. After 8 days, 4 more workers are employed, and the project is completed 2 days earlier. How many days would it have taken if only 12 workers were employed?Solution
Work done in 8 days by 12 workers = 8 × 12 = 96 units. Remaining work = Total work - 96 = (12 × 20 - 96) = 144 units. New workers = 12 + 4 = 16 workers. Time taken by 16 workers = 144/16 = 9 days. If only 12 workers were employed, time = (96 + 144)/12 = 20 days. Correct answer: c) 20 days
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