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QA – Placement Quizzes | Work and Wages | Question 11

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10 men working 9 hours a day can complete a work in 24 days. How much time will it take to complete the work if 15 men are employed for 6 hours a day? (A) 18 (B) 20 (C) 24 (D) 30

Answer: (C)

Explanation: Here, we need to apply the formula M1 D1 H1 E1 / W1 = M2 D2 H2 E2 / W2, where M1 = 10 men D1 = 24 days H1 = 9 hours/day W1 = W2 = Work to be done E1 = E2 = Efficiency of each man M2 = 15 men D2 = Days required by 15 men H2 = 6 hours/day   So, we have 10 x 24 x 9 = 15 x 6 x D2 => D2 = 24 Therefore, 15 men working 6 hours / day would require 24 days to complete the work.   Note : Here, 10 men working 9 hours a day is equivalent to 90 working hours by 1 man. 15 men working 6 hours / day is also equivalent to 90 working hours by 1 man. Hence, the number of days required to complete the work would not change.

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Last Updated : 28 Jun, 2021
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