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'A' can construct a wall in 30 days, whereas 'B' can construct or destroy the same wall in the same time i.e. destroy time is equal to construct time. If 'A' constructs and 'B' destroys, it takes 60 days to construct the wall. How many days will it take to construct the wall, if both 'A' and 'B' work towards constructing the wall?
- a)12 days
- b)15 days
- c)16 days
- d)20 days
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A can construct a wall in 30 days, whereas B can construct or destroy ...
Let us assume that 'B' can destroy the wall in 'd' days.
⇒ d = 60 days
So, if both 'A' and 'B' work to construct the wall,
In 1 day, they can do
So, it takes 20 days to construct the wall, if both 'A' and 'B' work towards constructing the wall.
⇒ d = 60 days
So, if both 'A' and 'B' work to construct the wall,
In 1 day, they can do
So, it takes 20 days to construct the wall, if both 'A' and 'B' work towards constructing the wall.
Most Upvoted Answer
A can construct a wall in 30 days, whereas B can construct or destroy ...
Given:
A takes 30 days to construct the wall.
B takes 30 days to either construct or destroy the wall.
When A constructs and B destroys, it takes 60 days to construct the wall.
Let's assume that the efficiency of A is x units per day, and the efficiency of B is y units per day.
Constructing the wall:
A's efficiency is x units per day. Since A takes 30 days to construct the wall, the total work done by A is 30x units.
Destroying the wall:
B's efficiency is y units per day. Since B takes 30 days to destroy the wall, the total work done by B is 30y units.
When A constructs and B destroys, it takes 60 days to construct the wall.
So, the total work done by A in 60 days is 60x units, and the total work done by B in 60 days is 60y units.
Since the work done by A and B together is equal to the work done by A alone, we can write:
60x = 30x + 30y
Simplifying the equation:
30x = 30y
x = y
This implies that the efficiency of A is equal to the efficiency of B.
To find the number of days it will take for A and B to construct the wall together, let's assume that they take t days.
The work done by A in t days is tx units, and the work done by B in t days is ty units.
Since they are working together, the total work done in t days is (tx + ty) units.
But we know that the total work done by A and B together is equal to the work done by A alone, which is 30x units.
Therefore, we can write:
tx + ty = 30x
Since x = y, we can substitute y for x in the above equation:
tx + ty = 30y
Dividing both sides of the equation by t, we get:
x + y = 30
Substituting x = y, we get:
2x = 30
x = 15
So, the efficiency of A and B is 15 units per day.
To find the number of days it will take for A and B to construct the wall together, we can substitute the value of x into the equation:
tx + ty = 30x
t(15) + t(15) = 30(15)
30t = 450
t = 15
Therefore, it will take 15 days for A and B to construct the wall together.
Hence, the correct answer is option (b) 15 days.
A takes 30 days to construct the wall.
B takes 30 days to either construct or destroy the wall.
When A constructs and B destroys, it takes 60 days to construct the wall.
Let's assume that the efficiency of A is x units per day, and the efficiency of B is y units per day.
Constructing the wall:
A's efficiency is x units per day. Since A takes 30 days to construct the wall, the total work done by A is 30x units.
Destroying the wall:
B's efficiency is y units per day. Since B takes 30 days to destroy the wall, the total work done by B is 30y units.
When A constructs and B destroys, it takes 60 days to construct the wall.
So, the total work done by A in 60 days is 60x units, and the total work done by B in 60 days is 60y units.
Since the work done by A and B together is equal to the work done by A alone, we can write:
60x = 30x + 30y
Simplifying the equation:
30x = 30y
x = y
This implies that the efficiency of A is equal to the efficiency of B.
To find the number of days it will take for A and B to construct the wall together, let's assume that they take t days.
The work done by A in t days is tx units, and the work done by B in t days is ty units.
Since they are working together, the total work done in t days is (tx + ty) units.
But we know that the total work done by A and B together is equal to the work done by A alone, which is 30x units.
Therefore, we can write:
tx + ty = 30x
Since x = y, we can substitute y for x in the above equation:
tx + ty = 30y
Dividing both sides of the equation by t, we get:
x + y = 30
Substituting x = y, we get:
2x = 30
x = 15
So, the efficiency of A and B is 15 units per day.
To find the number of days it will take for A and B to construct the wall together, we can substitute the value of x into the equation:
tx + ty = 30x
t(15) + t(15) = 30(15)
30t = 450
t = 15
Therefore, it will take 15 days for A and B to construct the wall together.
Hence, the correct answer is option (b) 15 days.
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A can construct a wall in 30 days, whereas B can construct or destroy the same wall in the same time i.e. destroy time is equal to construct time. If A constructs and B destroys, it takes 60 days to construct the wall. How many days will it take to construct the wall, if both A and B work towards constructing the wall?a)12 daysb)15 daysc)16 daysd)20 daysCorrect answer is option 'D'. Can you explain this answer?
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A can construct a wall in 30 days, whereas B can construct or destroy the same wall in the same time i.e. destroy time is equal to construct time. If A constructs and B destroys, it takes 60 days to construct the wall. How many days will it take to construct the wall, if both A and B work towards constructing the wall?a)12 daysb)15 daysc)16 daysd)20 daysCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A can construct a wall in 30 days, whereas B can construct or destroy the same wall in the same time i.e. destroy time is equal to construct time. If A constructs and B destroys, it takes 60 days to construct the wall. How many days will it take to construct the wall, if both A and B work towards constructing the wall?a)12 daysb)15 daysc)16 daysd)20 daysCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can construct a wall in 30 days, whereas B can construct or destroy the same wall in the same time i.e. destroy time is equal to construct time. If A constructs and B destroys, it takes 60 days to construct the wall. How many days will it take to construct the wall, if both A and B work towards constructing the wall?a)12 daysb)15 daysc)16 daysd)20 daysCorrect answer is option 'D'. Can you explain this answer?.
A can construct a wall in 30 days, whereas B can construct or destroy the same wall in the same time i.e. destroy time is equal to construct time. If A constructs and B destroys, it takes 60 days to construct the wall. How many days will it take to construct the wall, if both A and B work towards constructing the wall?a)12 daysb)15 daysc)16 daysd)20 daysCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A can construct a wall in 30 days, whereas B can construct or destroy the same wall in the same time i.e. destroy time is equal to construct time. If A constructs and B destroys, it takes 60 days to construct the wall. How many days will it take to construct the wall, if both A and B work towards constructing the wall?a)12 daysb)15 daysc)16 daysd)20 daysCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can construct a wall in 30 days, whereas B can construct or destroy the same wall in the same time i.e. destroy time is equal to construct time. If A constructs and B destroys, it takes 60 days to construct the wall. How many days will it take to construct the wall, if both A and B work towards constructing the wall?a)12 daysb)15 daysc)16 daysd)20 daysCorrect answer is option 'D'. Can you explain this answer?.
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