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. 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..

    1. 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 .

    2. 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. 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

      ANSWER 12 days

    5. 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. 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

    7. 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.

    8. 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

  2. 4 women multiply 43 days =14.33 multiply days? 4 days multiply 43 days devided 14.33 women=12.0022days

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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.

  8. 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)

  9. 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

  10. 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

    So ur answer is wrong

  11. 3 men can complete it in 43 days, which means 1 man alone will take 3*43 days working at the rate of 1/(3*43) per day.
    4 women can complete it in 43 days, which means 1 women alone will take 4*43 days working at the rate of 1/(3*43) per day

    Now, 7 men and 5 women working together will work at the rate of 7*1/(3*43) + 5*1/(4*43) = 1/12 per day.

    Therefore, it will take 12 days for 7 men and 5 women to get it done

  12. 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

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