5 men or 10 women can complete a work in 6 days how many days it would take for 1 men and 4 women to complete that work
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If 3 men or 4 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?
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Harpreet Kaur, Verified Educator at Unacademy (2017-present)
Answered yesterday
3 men or 4 women does a work in 16 days means
16 men does it in 16 days
And 4 women can also do this in 16 days
Work remain same, we can equate both these equations
Work done by 3 men in 16 days is equal to work done by 4 women in 16 days , therefore
3 men * 16 days = 4 women * 16
3 Men = 4 women
Or men/ women = 4/3
Which means we can say if a man does 4 units of work then a woman will do 3 units of work in a single day
Total work = 3*men*16 = 4*womem*16
We cam calculate total work by substituting the value of men or women in above equation
Total work = 3 * 4units *16 = 192 units
Now 12 men and 8 womenone day work=
12* 4 units + 8*3 units = 48+ 24 = 72 units
Time they will take to complete 192 units will be equal to
= Total work/(one day work)
= 192/72
= 8/3 days
Or 2.66 days (Ans)
To learn the methods to solve such more problems of time and work, watch this free course on unacademy
Still have a question? Ask your own!
What is your question?
64 ANSWERS

Harpreet Kaur, Verified Educator at Unacademy (2017-present)
Answered yesterday
3 men or 4 women does a work in 16 days means
16 men does it in 16 days
And 4 women can also do this in 16 days
Work remain same, we can equate both these equations
Work done by 3 men in 16 days is equal to work done by 4 women in 16 days , therefore
3 men * 16 days = 4 women * 16
3 Men = 4 women
Or men/ women = 4/3
Which means we can say if a man does 4 units of work then a woman will do 3 units of work in a single day
Total work = 3*men*16 = 4*womem*16
We cam calculate total work by substituting the value of men or women in above equation
Total work = 3 * 4units *16 = 192 units
Now 12 men and 8 womenone day work=
12* 4 units + 8*3 units = 48+ 24 = 72 units
Time they will take to complete 192 units will be equal to
= Total work/(one day work)
= 192/72
= 8/3 days
Or 2.66 days (Ans)
To learn the methods to solve such more problems of time and work, watch this free course on unacademy
Answered by
2
5 men = 10women
then
1m = 2women
put a value in man
5 ×2 +10 women
20 women -- 6d
time × person = work
20 w × 6 then = 6 women ( 2women +4women)
then answer = 20 days
hope it helps you ☺ ...
then
1m = 2women
put a value in man
5 ×2 +10 women
20 women -- 6d
time × person = work
20 w × 6 then = 6 women ( 2women +4women)
then answer = 20 days
hope it helps you ☺ ...
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