6 men, 4 women and 12 children can complete a work in 14 days. a woman does double the work a man does and a child does half the work a man does. how many women alone can complete this work in 7 days?

  1. Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
  2. A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?
  3. [Solved] 3 men, 4 women and 6 children can complete a work in 7 days.
  4. Three men, four women and Six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
  5. [Solved] 3 men, 4 women and 6 children can complete a work in 7 days.
  6. Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
  7. Three men, four women and Six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
  8. A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?
  9. Three men, four women and Six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
  10. Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?


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Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

Solution Let the amount work done by a woman in a day be W. So, the amount of work done by a man in a day is W/2. And the amount of work done by a child in a day is W/4 So, the amount of work done by 3 men, 4 women and six children in a day is 3W/2 + 4W + 6W/4 = 7W. Hence, 7 women can complete this work in 7 days. So, the correct answer is option (b)

A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?

Answer: Option A Explanation: To calculate the answer we need to get 1 man per day work and 1 woman per day work. Let 1 man 1 day work =x and 1 woman 1 days work = y. => 6x+5y = 1/6 and 3x+4y = 1/10 On solving, we get x = 1/54 and y = 1/90 (9 men + 15 women)'s 1 days work = (9/54) + (15/90) = 1/3 9 men and 15 women will finish the work in 3 days Answer: Option D Explanation: A+B 1 day work = 1/8 B+C 1 day work = 1/12 A+B+C 1 day work = 1/6 We can get A work by (A+B+C)-(B+C) And C by (A+B+C)-(A+B) So A 1 day work = \begin So A and C can together do this work in 8 days Answer: Option A Explanation: In this type of question, where we have one person work and together work done. Then we can easily get the other person work just by subtracting them. As, Son's one day work = \begin Manas Tiwari 9 years ago We Solve This Question For This Method 6m+5w=6days-------------(1) 3m+4w=10 days-------------(2) Equ(1) and Equ(2) 36m+30w 30m+40w 6m+10w or 10/6 or 5:3 so m=5 and w=3 put this value on equ (2) 3*5+4*3=10 or 27*10 or 270 totla work so 9m+15w=? 9*5+15*3 or 45+45 or 90 total work/9men+15 woman 270/90=3 days.

[Solved] 3 men, 4 women and 6 children can complete a work in 7 days.

Given ∶ Time taken by 3 men, 4 women, 6 children to complete the work = 7 days. A woman does double work compare to a man and a child does half work compare to a man. Ratio of efficiency of man and woman = 1 ∶ 2, Ratio of efficiency of child and man = 1 ∶ 2 Calculation ∶ Ratio of efficiency of man, woman and child = 2 ∶ 4 ∶ 1 Total work = (3 man + 4 woman + 6 child) × 7 days = (3 × 2 + 4 × 4 + 6 × 1) × 7 = 28 × 7 = 196 Number of women necessary to complete to the work in 7 days = 196/(4 × 7) = 7

Three men, four women and Six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

Description for Correct answer: 2 men = 1 woman => 1 man = \( \Large \frac \) = 7 Women Hence, 7 women complete the work in 7 days. Part of solved Time and work questions and answers : Login to Bookmark Previous Question Next Question Report Error 1). 12 men take 36 days to do a work while 12 women complete \( \Large \frac \)th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work? A). 6 days B). 27 days C). 12 days D). Data inadequate -- View Answer 2). 'A' can complete a piece of work in 12 days. 'A' and 'B' together can complete the same piece of work in 8 days. In how many days can 'B' alone complete the same piece of work? A). 15 days B). 18 days C). 24 days D). 28 days -- View Answer 3). 12 men can do a piece of work in 10 days. How many men would be required to do the same work in 8 days ? A). 14 B). 18 C). 16 D). None of these -- View Answer 4). A and B together complete a piece of work in T days. If A alone completes the work in T + 3 days and B alone completes the piece of work in T + 12 days, what is T? A). 3 days B). 12 days C). 9 days D). None of these -- View Answer 5). 4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If, 2 men, 4 women and 10 children work together, in how many days can the work be completed ? A). 1 day B). 3 days C). 2 days D). 4 days -- View Answer 6). Amit and Sujit together c...

[Solved] 3 men, 4 women and 6 children can complete a work in 7 days.

Given ∶ Time taken by 3 men, 4 women, 6 children to complete the work = 7 days. A woman does double work compare to a man and a child does half work compare to a man. Ratio of efficiency of man and woman = 1 ∶ 2, Ratio of efficiency of child and man = 1 ∶ 2 Calculation ∶ Ratio of efficiency of man, woman and child = 2 ∶ 4 ∶ 1 Total work = (3 man + 4 woman + 6 child) × 7 days = (3 × 2 + 4 × 4 + 6 × 1) × 7 = 28 × 7 = 196 Number of women necessary to complete to the work in 7 days = 196/(4 × 7) = 7

Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

Solution Let the amount work done by a woman in a day be W. So, the amount of work done by a man in a day is W/2. And the amount of work done by a child in a day is W/4 So, the amount of work done by 3 men, 4 women and six children in a day is 3W/2 + 4W + 6W/4 = 7W. Hence, 7 women can complete this work in 7 days. So, the correct answer is option (b)

Three men, four women and Six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

Description for Correct answer: 2 men = 1 woman => 1 man = \( \Large \frac \) = 7 Women Hence, 7 women complete the work in 7 days. Part of solved Time and work questions and answers : Login to Bookmark Previous Question Next Question Report Error 1). 12 men take 36 days to do a work while 12 women complete \( \Large \frac \)th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work? A). 6 days B). 27 days C). 12 days D). Data inadequate -- View Answer 2). 'A' can complete a piece of work in 12 days. 'A' and 'B' together can complete the same piece of work in 8 days. In how many days can 'B' alone complete the same piece of work? A). 15 days B). 18 days C). 24 days D). 28 days -- View Answer 3). 12 men can do a piece of work in 10 days. How many men would be required to do the same work in 8 days ? A). 14 B). 18 C). 16 D). None of these -- View Answer 4). A and B together complete a piece of work in T days. If A alone completes the work in T + 3 days and B alone completes the piece of work in T + 12 days, what is T? A). 3 days B). 12 days C). 9 days D). None of these -- View Answer 5). 4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If, 2 men, 4 women and 10 children work together, in how many days can the work be completed ? A). 1 day B). 3 days C). 2 days D). 4 days -- View Answer 6). Amit and Sujit together c...

A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?

Answer: Option A Explanation: To calculate the answer we need to get 1 man per day work and 1 woman per day work. Let 1 man 1 day work =x and 1 woman 1 days work = y. => 6x+5y = 1/6 and 3x+4y = 1/10 On solving, we get x = 1/54 and y = 1/90 (9 men + 15 women)'s 1 days work = (9/54) + (15/90) = 1/3 9 men and 15 women will finish the work in 3 days Answer: Option D Explanation: A+B 1 day work = 1/8 B+C 1 day work = 1/12 A+B+C 1 day work = 1/6 We can get A work by (A+B+C)-(B+C) And C by (A+B+C)-(A+B) So A 1 day work = \begin So A and C can together do this work in 8 days Answer: Option A Explanation: In this type of question, where we have one person work and together work done. Then we can easily get the other person work just by subtracting them. As, Son's one day work = \begin Manas Tiwari 9 years ago We Solve This Question For This Method 6m+5w=6days-------------(1) 3m+4w=10 days-------------(2) Equ(1) and Equ(2) 36m+30w 30m+40w 6m+10w or 10/6 or 5:3 so m=5 and w=3 put this value on equ (2) 3*5+4*3=10 or 27*10 or 270 totla work so 9m+15w=? 9*5+15*3 or 45+45 or 90 total work/9men+15 woman 270/90=3 days.

Three men, four women and Six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

Description for Correct answer: 2 men = 1 woman => 1 man = \( \Large \frac \) = 7 Women Hence, 7 women complete the work in 7 days. Part of solved Time and work questions and answers : Login to Bookmark Previous Question Next Question Report Error 1). 12 men take 36 days to do a work while 12 women complete \( \Large \frac \)th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work? A). 6 days B). 27 days C). 12 days D). Data inadequate -- View Answer 2). 'A' can complete a piece of work in 12 days. 'A' and 'B' together can complete the same piece of work in 8 days. In how many days can 'B' alone complete the same piece of work? A). 15 days B). 18 days C). 24 days D). 28 days -- View Answer 3). 12 men can do a piece of work in 10 days. How many men would be required to do the same work in 8 days ? A). 14 B). 18 C). 16 D). None of these -- View Answer 4). A and B together complete a piece of work in T days. If A alone completes the work in T + 3 days and B alone completes the piece of work in T + 12 days, what is T? A). 3 days B). 12 days C). 9 days D). None of these -- View Answer 5). 4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If, 2 men, 4 women and 10 children work together, in how many days can the work be completed ? A). 1 day B). 3 days C). 2 days D). 4 days -- View Answer 6). Amit and Sujit together c...

Three men, four women and six children can complete a work in 7 days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

Solution Let the amount work done by a woman in a day be W. So, the amount of work done by a man in a day is W/2. And the amount of work done by a child in a day is W/4 So, the amount of work done by 3 men, 4 women and six children in a day is 3W/2 + 4W + 6W/4 = 7W. Hence, 7 women can complete this work in 7 days. So, the correct answer is option (b)

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