CAT Exam  >  CAT Questions  >  Some men and women are deployed to build a wa... Start Learning for Free
Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days?
Most Upvoted Answer
Some men and women are deployed to build a wall while the women destro...
The CAT category:

Problem:
The problem states that some men and women are deployed to build a wall while the women destroy it. The main construct the wall at the same rate, and the women destroy it at the same rate. The wall is built in 30 days when four men and five women are deployed. The same is completed in 20 days if five men and four women work on it. We need to find out how many days it will take for the wall to be built if 18 men and 18 women are engaged to work on it.

Solution:
To solve this problem, we will use the concept of man-days. The number of man-days required to complete a task is given by the product of the number of men and the number of days. Similarly, the number of woman-days required is given by the product of the number of women and the number of days.

Step 1: Calculate the man-days:
Let's calculate the man-days required to build the wall when four men and five women are deployed. We are given that the wall is built in 30 days. Using the concept of man-days, we can write the equation as:
4 * 30 = 120 man-days

Step 2: Calculate the woman-days:
Similarly, let's calculate the woman-days required to build the wall when four men and five women are deployed. Using the concept of woman-days, we can write the equation as:
5 * 30 = 150 woman-days

Step 3: Calculate the efficiency of men and women:
Now, let's calculate the efficiency of men and women. We know that the main constructs the wall at the same rate, so the efficiency of a man is equal to the efficiency of a woman.

Let the efficiency of a man be m and the efficiency of a woman be w. We can write the equations as:
4m + 5w = 1/30 (equation 1)
5m + 4w = 1/20 (equation 2)

Step 4: Solve the equations:
To solve the equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From equation 1, we can express m in terms of w:
m = (1/30 - 5w)/4

Substituting this value of m in equation 2, we get:
5((1/30 - 5w)/4) + 4w = 1/20

Simplifying the equation, we get:
(1/24 - 25w/4) + 4w = 1/20

Solving for w, we get:
w = 1/600

Substituting the value of w in equation 1, we get:
m = 1/1200

Step 5: Calculate the number of days:
Now, let's calculate the number of days required to build the wall when 18 men and 18 women are deployed. We need to find the value of d in the equation:
18(1/1200) + 18(1/600) = 1/d

Simplifying the equation, we get:
1/66 + 3/100 = 1/d

Combining the fractions, we get
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

The passage given below is followed by a questios. Choose the most appropriate answer to each question.In far-off Syria, a country lying northeast of Palestine, the land in which Jesus was born, the farmers who keep vineyards are very much troubled with foxes and bears, which destroy their crops at night. And so, to protect their vineyards, they build high stone-walls about them, and put broken bottles on the top to keep these animals out, much as some people in this country who have orchards do, in order to keep out small boys. These fences keep out the bears, because they cut themselves on the glass in trying to climb over, and they also keep out some of the foxes. But after all, when the grapes are nearly ripe, the owners of the vineyards and their men are obliged to build platforms up above the trellises, and stay there all night, in order to guard their crops. These watchers manage very well with all the other wild animals excepting the little foxes. They can see the big foxes and drive them off, but the little ones they cannot see, and so these destroy the vines. I suppose that it was an experience something like that which led one of the Bible-writers to say that the little foxes destroy the vines. It seems to me that this is very true with sins, too; it is the little sins that destroy us. When a big sin like stealing, lying or cheating comes along we can see that easily enough, and we will not let it over the fence into our lives. We drive it away, and are soon rid of it. But when the little sins come, like little foxes, we do not see them, and so they get in and destroy our character. What are some of these little foxes? I think one is pride, which makes you soconceited, because you live in a big house or have an automobile or fine clothes, that you will not speak to or play with other boys and girls who have not quite such fine things, although they may be just as bright and just as good as you. Pride is a little fox that kills the vine of brotherliness which Christ planted in our hearts. Then another little fox is sulkiness. Sulkiness makes you frown and go away in a corner. It sucks up all the sunlight there is, and makes the world very gray and dull, like a day in November. This fox kills the vine called peace which Christ planted.One more little fox is jealousy. This makes boys and girls dislike others who get higher marks than they in school, or who have more friends, or better toys. It is one of the most destructive little foxes there is, for it kills the best vine of all that Christ planted: that is, love. Be careful, then, boys and girls, of these little foxes, for they are worse than bears and big foxes, because they look so small and harmless, and slip by when you are not paying attention, but which destroy your character as readily as the others.Q.Which of the following cannot be inferred from the passage?

Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days?
Question Description
Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days?.
Solutions for Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days? defined & explained in the simplest way possible. Besides giving the explanation of Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days?, a detailed solution for Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days? has been provided alongside types of Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days? theory, EduRev gives you an ample number of questions to practice Some men and women are deployed to build a wall while the women destroye it the main constructed all the main construct the wall at the same rate where is all the women destroy it at the same rate the wall is built in 30 days when four men and 5 women are deployed the same is completed in 20 days if 5 men and four women work on it if 18 man and 18 women are engaged to work on it then the wall will be built in how many days? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev