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
Use any method to estimate how much Joan earns in all working 6.75 hours for 2 days earning $15.70 per hour.show your work
alexdok [17]

Answer:

$ 211.95

Step-by-step explanation:

soooo your supposed to multiply 6.75hr and 15.70

and get 105.975

the multiply that by 2

answer: $211.95

8 0
3 years ago
Adam works at a bakery. He uses 1/8 of his flour supply to make bread and 3/4 of his flour supply to make other baked goods. If
kykrilka [37]

Answer: B  

he has 24 in his supply!

Step-by-step explanation:

7 0
3 years ago
Hostoso
Softa [21]

Answer:

B

Step-by-step explanation:

0.12 is 12 percent we also have the 0.06 percent which would just be 6 percent we need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.

6 0
2 years ago
Whats the answer? A, B, C, or D?
Firdavs [7]

The answer is the second choice.

P (pounds) = 5D (Dollars)



Hope this might help!

:D

3 0
3 years ago
What is one thousand five hundred divided by five equal
Vikki [24]

Answer: 300

We know that 5×3=15. Since we are trying to get 1500 we Multiply 300×5 and get 1500.

<u>How do we know?</u>

  • As you can see if you cross out 2 of the 0 in 300 you have 3×5. When you multiply it you get 15.
  • Also if you cross out 1 of the 0 in 300 you have 30×5. When you multiply that you get 150.

As you see when you still multiply either of those problems you have 15 in it. So we should know 300×5=1500.

Note: We can also multiply 500×3 and get 1500. You still get the same answer but just switched numbers.

5 0
3 years ago
Read 2 more answers
Other questions:
  • the hypotenuse of a right triangle has a length of 13cm the longer of the two legs is 7cm longer than the shorter leg
    8·1 answer
  • Find the domain and range
    11·1 answer
  • Which is the equation of the circle?
    15·1 answer
  • Find the equation of a line parallel to 4x-y=-3 that contains the point (-1,-2). Write the equation in slope-intercept form.
    8·1 answer
  • Third term of (x + 3) 12
    15·1 answer
  • PLEASE HELP I NEED TO DO THIS BUT I DON’T KNOW HOW
    14·1 answer
  • Let Ir = 17 at an angle of 40° and s = 14 at an angle of 160°. Which expression represents r + s|?
    8·1 answer
  • 1/2x+5=-2/3x+1/2<br> Solve for x
    11·2 answers
  • Step-by-step explanation: How many solutions does the system of equations below have?
    9·1 answer
  • A sweater is marked 30% off the original price. The original price was $37.50. What is the sale price of the sweater before sale
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!