
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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July 24th, 2019, 08:11 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 458 Thanks: 1  How to solve this time & work problem?
24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men & 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days? Sol: 24m → 16 32w → 24 24m*16 = 32w*24 1m=2w Total work done by 24men in 16 days = 24*16 = 384. 16m + 16w In 12 days. Since 1m=2w, 16m + 8m i.e 24m. Total work done for 12 days = 24m*12 = 288 Remaining work = 384 – 288 = 96. After this how to proceed? 
July 24th, 2019, 08:24 AM  #2 
Senior Member Joined: Jun 2019 From: USA Posts: 120 Thanks: 40 
By adding units (even fictitious and sexist ones), it may become clearer. 1 job = (24 men)*(16 days) = 384 man*days. Work done = (16 men)*(12 days) + (16 women)*(1 man/2 women)*(12 days) = 288 man*days (= 0.75 job). Work remaining = 384  288 = 96 man*days You need 96 man*days of work done in 2 days. How many total "equivalent men" do you need? 
July 24th, 2019, 08:33 AM  #3  
Senior Member Joined: Aug 2014 From: India Posts: 458 Thanks: 1  Quote:
Extra 48 men required is the answer ? Last edited by Ganesh Ujwal; July 24th, 2019 at 08:38 AM.  
July 24th, 2019, 08:42 AM  #4 
Senior Member Joined: Jun 2019 From: USA Posts: 120 Thanks: 40  
July 24th, 2019, 08:51 AM  #5  
Senior Member Joined: Aug 2014 From: India Posts: 458 Thanks: 1  Quote:
If they ask how many women & men needed for last 2 days, then how should I proceed? Last edited by Ganesh Ujwal; July 24th, 2019 at 09:30 AM.  
July 24th, 2019, 09:46 AM  #6 
Senior Member Joined: Jun 2019 From: USA Posts: 120 Thanks: 40 
Mathematically, you don't. Physically, though, one man is not the same thing as two women. That's why I said the men and women already working. We have the equivalent of 24 men already, so 24 more are needed. If you weren't constrained to hiring only men, you would have multiple options. You could hire 24 men, or 23 men and 2 women, or 22 men and 4 women, etc.. 
July 24th, 2019, 06:10 PM  #7 
Senior Member Joined: Aug 2014 From: India Posts: 458 Thanks: 1  

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