Open In App
Related Articles

QA – Placement Quizzes | Work and Wages | Question 9

Improve
Improve
Improve
Like Article
Like
Save Article
Save
Share
Report issue
Report
3 men and 4 women can complete a work in 10 days by working 12 hours a day. 13 men and 24 women can do the same work by working same hours a day in 2 days. How much time would 12 men and 1 women working same hours a day will take to complete the whole work? (A) 4 (B) 6 (C) 8 (D) 10

Answer: (A)

Explanation: Here, we need to apply the formula ∑(Mi Ei) D1 H1 / W1 = ∑(Mj Ej) D2 H2 / W2, where ∑(Mi Ei) = (3 x m) + (4 x w) ∑(Mj Ej) = (13 x m) + (24 x w), where ‘m’ is the efficiency of each man and ‘w’ is the efficiency of each woman D1 = 10 days D2 = 2 days H1 = 12 hours H2 = 12 hours W1 = W2 = Work to be done   So, we have (3m + 4w) x 10 x 12 = (13m + 24w) x 2 x 12 => 15m + 20w = 13m + 24w => 2m = 4w => m = 2w => m : w = 2 : 1 Therefore, ratio of efficiency of man and woman = 2 : 1 If the constant of proportionality be ‘k’, Efficiency of each man = m = 2k Efficiency of each woman = w = k   Now, we re-apply the same formula. ∑(Mi Ei) D1 H1 / W1 = ∑(Mj Ej) D2 H2 / W2, where ∑(Mi Ei) = (3 x m) + (4 x w) ∑(Mj Ej) = (12 x m) + (1 x w) D1 = 10 days D2 = Days requires by 12 men and 1 woman H1 = 12 hours H2 = 12 hours W1 = W2 = Work to be done   So, we have (3m + 4w) x 10 x 12 = (12m + w) x D2 x 12 => 30m + 40w = (12m + w) x D2 => 60k + 40k = (24k + k) x D2 => 100k = 25k x D2 => D2 = 4 Therefore, 12 men and 1 woman would require 4 days to complete the work.

Quiz of this Question

Last Updated : 28 Jun, 2021
Like Article
Save Article
Previous
Next
Share your thoughts in the comments
Similar Reads