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5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled. 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?
GIVEN:Time taken by 5 skilled workers to build the wall = 20 daysTime taken by 8 semi-skilled workers to build the wall = 25 daysTime taken by 10 unskilled workers to build the wall = 30 daysCalculation:Time taken by 2 skilled workers to build the wall = 20 × 5/2 days = 50 daysTime taken by 6 semi-skilled workers to build the wall = 25 × 8/6 days = 200/6 daysTime taken by 5 unskilled workers to build the wall = 30 × 10/5 days = 60 days Time taken by the three working together = \( {{1} \over {1\over50}+{6\over200}+{1\over60}}\) = 1/(1/15)Time taken by the three working together = 15 days
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