1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LiRa [457]
3 years ago
11

Two men and 7 women can together do a piece of work in 4 days. It is done by 4 men and 4 women in 3 days. How long would it take

for one man or one woman to do the work
Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

12 days

Step-by-step explanation:

Time taken by one man = x days , and that by 1 boy = y days


work done in 1 day by one man = 1/x


work done in 1 day by one boy= 1/y


work done by 2 men in one day = 2/x


work done by 7 boys in one day = 7/y


2/x + 7/y = 1/4      -----> [ 1]


work done by 4 men in one day = 4/x

work done by 4 boys in one day = 4/y


4/x + 4/y = 1/3       ----> [2]


Multiplying  equation 1 by  , 2 ,  


2(2/x + 7/y = 1/4   )

 = 4/x + 14/y = 1/2           ---> [3]


solving equations 2 and 3




 4/x + 4/y = 1/3  

- 4/x + 14/y = 1/2  

==============

-10/y = 2-3/6

-10/y = -1/6


-1/6y = -10

y = -10 × 6/-1

  = 60 


2/x + 7/y = 1/4

2/x + 7/60 = 1/4

7/60 - 1/4 = -2/x

-8/60 = -2/x


-120 = -8x

x = -120/-8

x = 15


=================================


Time taken by 1 man to do the  whole job = 15 days

time taken by 1 boy to do the whole  job = 60 days


time taken by one boy and one man to do one day's work = 1/60 + 1/15

                                         = 1/60 + 4/60

                                         = 5/60  = 1/12

Together they can do it in 12 days !





You might be interested in
Please look at picture
olchik [2.2K]

Answer:

By sum interior angle of triangle is equal to third exterior angle hence

z = x + y

No find x and y

Sum triangle is 180 degree

5 0
2 years ago
Which is a better buy, 4 lunches for $57 or 5 lunches for $71?
worty [1.4K]
Answer: 5 lunches for $71 is better
57/4=14.25
71/5=14.2
3 0
3 years ago
What is 1+1 its super hard
Andrews [41]

Answer:

2

Step-by-step explanation:

even tho this is a very hard question it is 2.

5 0
3 years ago
What is the range
Elena-2011 [213]
C I believe the -2 part that was the one just looked it up on google XD hope it helped
7 0
3 years ago
DATA MANAGEMENT GRADE 12! HELP
Mashcka [7]
There are winnings of $50 ( 60% ), $100 ( 20% ) and $1,000 ( 2% ).
$50 * 0.6 = $30
$100 * 0.2 = $20
$1,000 * 0.02 = $20
$30 + $20 + $20 = $70
Answer: The expected payout per fan is $70.
4 0
3 years ago
Other questions:
  • there are 150 sheep in a flock 34% of them are white what is the total number of white sheep in the flock?
    5·1 answer
  • One number is 6 more than twice another. If their sum is 51, find the numbers. Which of the following systems of equations repre
    10·1 answer
  • When factored, the trinomials x2 + 4x − 21 and x2 + 11x + 28 have one binomial factor in common. What is this factor?
    15·1 answer
  • Braelyn Is writing including to officiate rectangle with a width equal to half the length she knows the perimeter is equal to 18
    12·1 answer
  • Which expression is equivalent to sqrt -108 - sqrt -3
    14·2 answers
  • Lütfen yardım edin.<br>2. sınıf matematik<br>ilkokul
    14·2 answers
  • Monica has 50 animals, 30 of the animals are cats. What percent of the animals are cats
    9·2 answers
  • What is the distance between -70 and -30 on
    13·2 answers
  • A sheet of stickers has 60 total stickers on it. Some of the stickers are donuts and some are ice cream cones. There are 9 donut
    9·1 answer
  • Use the expression (10p+10)+(8p−1). Simplify using properties of operations and then factor the expression using the GCF.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!