Question
‘n’ men working 12 hours a day can complete a work in 15 days while (3n – 8) men working 12 hours a day can complete the same work in 9 days. In how many days can (n + 2) men working 5 hours a day complete the same work?
Solution
According to the question, (n × 12 × 15) = {(3n – 8) × 12 × 9} => 5n = 9n – 24 => n = 6 Let the number of days taken by (n + 2) = 8 men be ‘x’ days Therefore, (6 × 12 × 15) = (8 × 5 × x) Therefore, x = 27 days
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