A. 12 days
B. 14 days
C. 16 days
D. 18 days

3 men does same work as 4 women in 43 days.

multiply 3 and 4 and 43 for a supposed amount of total work (516).

Now calculate how much work is done by 3 men in one day by dividing 516 by 43 (12). Then calculate one man work in one day by dividing 12 by 3 (4).

Same (12) amount of work is done by 4 women in one day. so one women does 12/4 (3) in one day.

now see there are 7 men and 5 women in the final team.
total amount of work in one day will be

7(4)+5(3) = 43

Now divide total work (516) by total work in one day (43) to get the answer (12)

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###### 32 Comments to “If 3 men or 4 women can construct a wall in 43 days, then the number of days that 7 men and 5 women take to construct it is :”
1. ali says:

3M*43 = total work ,which is equal to 4W*43 (Since efficiency *time =total work)

so equating both eqn

3M*43=4W*43
so we get efficiency ratio M:W =4:3
total work = 3*4*43 =516
total work/efficency =time

516/(7M+5W) =time

substituting efficiency ratio in the above eqn
516/(7*4 + 5*3) =12days

hope this helps..

2. Zuhaib says:

How this question is solved ? Can anyone explain here ?

1. Tajammal says:

CORRECT ANS IS 12
3 men construct a wall in 43 days

So 3 men’s work in a day = 1/43 part

Hence 1 man’s work in day = 1/(43 x 3) part

Similarly 1 woman’s work in a day = 1/(43 x 4) part

7 men and 5 women’s work = 7 x 1/ 43 x 3 + 5 x 1/ 43 x 4 =( 7 x4 + 5 x 3)/43 x 3 x 4

= ( 28 +15)/ (43 x 12 ) = 43/(43 x 12) = 1/ 12 part

So 7 men and 5 women take 12 days to construct a wall .

3 men work in 43 days

So 3 men’s work in a day = 1/43 part

Hence 1 man’s work in day = 1/(43 x 3) part

Similarly 1 woman’s work in a day = 1/(43 x 4) part

7 men and 5 women’s work = 7 x 1/ 43 x 3 + 5 x 1/ 43 x 4 =( 7 x4 + 5 x 3)/43 x 3 x 4

= ( 28 +15)/ (43 x 12 ) = 43/(43 x 12) = 1/ 12 part

So 7 men and 5 women take 12 days to construct the wall.

3. 3 men reap the field in 43 days

So 3 men’s work in a day = 1/43 part

Hence 1 man’s work in day = 1/(43 x 3) part

Similarly 1 woman’s work in a day = 1/(43 x 4) part

7 men and 5 women’s work = 7 x 1/ 43 x 3 + 5 x 1/ 43 x 4 =( 7 x4 + 5 x 3)/43 x 3 x 4

= ( 28 +15)/ (43 x 12 ) = 43/(43 x 12) = 1/ 12 part

So 7 men and 5 women take 12 days to reap the the field.

4. Abdullah javed says:

3 Men =43 days

1 Man = 129 days

1 Man in 1 day = 1/129 of the work

4 women = 43 days

1 woman = 172 days

1 woman in 1 day = 1/172 of the work

7 Men + 5 Women in 1 day = 7/129 + 5/172 = ( 28 + 15) /516 = 43/516 = 1/12

5. corrector says:

3 men construct the in 43 days

So 3 men’s work in a day = 1/43 part

Hence 1 man’s work in day = 1/(43 x 3) part

Similarly 1 woman’s work in a day = 1/(43 x 4) part

7 men and 5 women’s work = 7 x 1/ 43 x 3 + 5 x 1/ 43 x 4 =( 7 x4 + 5 x 3)/43 x 3 x 4

= ( 28 +15)/ (43 x 12 ) = 43/(43 x 12) = 1/ 12 part

So 7 men and 5 women take 12 days to construct the the all.

6. Arslan Khan says:

3 men = 4 women

1 man = (4/3) women ,

7 men + 5 women = (7×43+5)=433 women

M1 =4, D1 = 43, M2 = 43/2, D2 =?

and W1 = W2 = 1

According to the formula,

M1D1W2 = M2D2W1

4 x43x1=(43/3)xD2 x1

D2 = 3 x 4 = 12 days

3 men = 43 days
one day work for 3 men = 1/43
one day work for 1 man = 1/ 43*3
one day work for 4 women =1/43
one day work for 1 woman = 1/43*4
for 7 men and 5 women one day work = 7( 1/43*3) +5(1/43*4)
= 7/43*3+5/43*4
taking LCM and simplifying this results comes to be 1/12
that implies works will be done in 12 days not 16 please do correct it.

4 women=3 men
1 women=3/4men
5 women=3*5/4=15/4men
now 7men and 5 women=7+15/4=43/4
3 men complete the work=43
1 men complete that work=43*3
so now for 5 women and 7 men above see=43/4
43/4 can complete it=43*3/43/4=12
so the right answar is 12 days

4. Awais Khan says:

5. Hina says:

Please if any one know the solution of this qurstion …. Please let me know….

6. Arslan says:

7. Zuhaib Rehman says:

Kindly, give the solution for this question.

8. ramzan zaib says:

4 women multiply 43 days =14.33 multiply days? 4 days multiply 43 days devided 14.33 women=12.0022days

9. Haris BIlal says:

The chosen answer is wrong. Actual answer in option A (12 days)

How?

3 men does same work as 4 women in 43 days.

multiply 3 and 4 and 43 for a supposed amount of total work (516).

Now calculate how much work is done by 3 men in one day by dividing 516 by 43 (12). Then calculate one man work in one day by dividing 12 by 3 (4).

Same (12) amount of work is done by 4 women in one day. so one women does 12/4 (3) in one day.

now see there are 7 men and 5 women in the final team.
total amount of work in one day will be

7(4)+5(3) = 43

Now divide total work (516) by total work in one day (43) to get the answer (12)

Good luck

10. sidra says:

the answer is 12 days . 3 men or 4 women can plough the field in 43 days
3 men = 4 women
1 man = 43
women
7 man = 283
women
7 men and 5 women = 5+283
= 433
women
4 women can plough field in 43 days
So,
1 women can plough in = 43 × 4 days
Hence,
433
women can plough = 43×4×343
= 12 days

11. sidra says:

the answer is 12 days . 3 men or 4 women can plough the field in 43 days
3 men = 4 women
1 man = 43
women
7 man = 28/3
women
7 men and 5 women = 5+28/3
= 43/3
women
4 women can plough field in 43 days
So,
1 women can plough in = 43 × 4 days
Hence,
4/33 women can plough = (43×4×34)/3
= 12 days

Ans A is right, it took 12 days to construct the wall.
men women days
3/7 4/5 43

so by cross multiplication
7/3 + 5/4 +1/43
1/43= 7/3 + 4/5
1/43= 28 + 15/12
1/43= 43/12 = 1/12 or 12 days ans

13. M.shami says:

It is 12 not 16

14. Atif Rahim says:

4 women = 3 men
1 women = 3/4 men.
5 women = (3 *5)/4 = 15/4 men.
7 men + 5 women = 7 + 15/4 = 43/4 men.
Now,
3 men can complete the work in 43 days.
1 men can complete it in = 43*3
43/4 men can complete = (43*3)/(43 /4) = (43 * 3 *4)/43 = 12 days.

15. Aqsa Imtiaz says:

Please correct the answer. the correct one is option A = 12 days

16. Inzamam Ulhaq says:

Ans is 12 days

17. Faisal Mahesar says:

16 is Wrong
3 men took 43 days so 1 man will take 43 x 3 = 129 days
4 women took 43 days so 1 woman will take 43 x 4 = 172 days
Taking LCM of 129 and 172 will give 516 (Total Work)
Divide 516 by 129 = 4 (Work done by 1 man per day)
Divide 516 by 172 = 3 (Work done by 1 woman per day)
7 men = 4 x 7 = 28 (per day)
5 women = 3 x 5 = 15 (per day)
Total work = 28 + 15 = 43 ( per day)
43 x 12 days = 516 (Total Work)

3men=4women
1man=4/3 woman
7men and 5women=(4/3*7+5)=43/3womens
Now 4*43/ 43/3=4*3*43/43
=12 is correct

19. hassan raza says:

the correct answer of this question is 12 not 16

20. M.SIDDIQ says:

21. Salman Khan says:

If 3 men do work =43 days
Then 1 man will do same work in =43×3=129 days
Same for women
1 woman will do same work in =43×4= 172days
Now
5men and 7 women will do a work with efficiency/day = 5(1/129)+7(1/172)
= (15+28)/516 =1/12

So days taken will be 12 days