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Group Question
Answer the following question based on the information given below.
A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.
Q. , B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?
Correct answer is '40'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information g...
Let A require ‘a’ days, B require ‘b’ days and C require ‘c’ days to complete the work separately.
A and B together both can complete a work in 24 days
A, B and C all three can complete a work in 18 days.
Solving equation (i) and (ii), we get,
∴ c = 72 days
∴ C requires 72 days to complete the work separately.
So, B requires 72 days to complete the work separately.
Putting this value of b = 72 in equation (i), we get,
a = 36 days
∴ The number of days required to complete the work = 16 + 24 = 40 days
Alternatively,
Let the total amount of work to be done be the L.C.M. of 24 and 18 i.e. 72 units.
A and B together both can complete a work in 24 days
A, B and C all three can complete a work in 18 days.
Solving equation (i) and (ii), we get,
∴ c = 72 days
∴ C requires 72 days to complete the work separately.
So, B requires 72 days to complete the work separately.
Putting this value of b = 72 in equation (i), we get,
a = 36 days
∴ The number of days required to complete the work = 16 + 24 = 40 days
Alternatively,
Let the total amount of work to be done be the L.C.M. of 24 and 18 i.e. 72 units.
Let A, B and C complete a, b and c units of work per day respectively when working alone.
∴ a + b = 72/24 = 3 units/day
and a + b + c = 72/18 = 4 units/day
∴ c = 4 - 3 = 1 unit/day
∴ b =1 unit/day and a = 2 units/day
Now, A, B and C work together for the first 8 days.
In this time frame, they complete 8(a + b + c) = 8(1 + 1 + 2) = 32 units of work.
Then, B and C work together for the next 8 days.
So, in this period, they complete 8(b + c) = 8(1 + 1) = 16 units o f work.
Thus, by the time, C starts working alone, 32 + 16 = 48 units of work has been completed.
Now, C completes the remaining 24 units of work alone by completing 1 unit per day.
Thus, C takes 24 days to complete the remaining work alone.
So, total time taken = 8 + 8 + 24 = 40 days.
Answer: 40
∴ a + b = 72/24 = 3 units/day
and a + b + c = 72/18 = 4 units/day
∴ c = 4 - 3 = 1 unit/day
∴ b =1 unit/day and a = 2 units/day
Now, A, B and C work together for the first 8 days.
In this time frame, they complete 8(a + b + c) = 8(1 + 1 + 2) = 32 units of work.
Then, B and C work together for the next 8 days.
So, in this period, they complete 8(b + c) = 8(1 + 1) = 16 units o f work.
Thus, by the time, C starts working alone, 32 + 16 = 48 units of work has been completed.
Now, C completes the remaining 24 units of work alone by completing 1 unit per day.
Thus, C takes 24 days to complete the remaining work alone.
So, total time taken = 8 + 8 + 24 = 40 days.
Answer: 40
Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
To solve this question, we need to find the number of days required to complete the work when A works for 8 days, B works for 16 days, and C works till the end.
Let's assume that the total work is represented by the variable 'W'.
1. Understanding the given information:
- A and B together can complete the work in 24 days. So, in one day, their combined work is W/24.
- A, B, and C together can complete the work in 18 days. So, in one day, their combined work is W/18.
2. Finding the individual efficiencies:
- Let's assume that B and C both have an efficiency of 'x'. So, in one day, the work done by B and C together is 2x.
- As A, B, and C together can complete the work in 18 days, the work done by A, B, and C together in one day is W/18.
3. Expressing the work done by each person:
- In 8 days, A completes 8*(W/24) = W/3 work.
- In 16 days, B completes 16*(2x) = 32x work.
- C works till the end and completes (W - (W/3 + 32x)) = (2W/3 - 32x) work.
4. Equating the work done by each person to the total work:
- The total work is W.
- A completes W/3 work.
- B completes 32x work.
- C completes 2W/3 - 32x work.
So, W/3 + 32x + 2W/3 - 32x = W
Simplifying this equation, we get:
2W/3 = W
W = 3W/2
5. Finding the number of days required to complete the work:
- As A, B, and C together can complete the work in 18 days, their combined work in one day is W/18.
- Substituting the value of W from the equation above, we get:
W/18 = 3W/2 / 18
W/18 = W/12
Cross-multiplying, we get:
12W = 18W
W = 12 * 18 / 6
W = 36
Therefore, the work can be completed in 36 days.
However, the correct answer given is 40 days. There might be an error in the calculations or a missing piece of information. Please recheck the question or provide additional information to verify the correct answer.
Let's assume that the total work is represented by the variable 'W'.
1. Understanding the given information:
- A and B together can complete the work in 24 days. So, in one day, their combined work is W/24.
- A, B, and C together can complete the work in 18 days. So, in one day, their combined work is W/18.
2. Finding the individual efficiencies:
- Let's assume that B and C both have an efficiency of 'x'. So, in one day, the work done by B and C together is 2x.
- As A, B, and C together can complete the work in 18 days, the work done by A, B, and C together in one day is W/18.
3. Expressing the work done by each person:
- In 8 days, A completes 8*(W/24) = W/3 work.
- In 16 days, B completes 16*(2x) = 32x work.
- C works till the end and completes (W - (W/3 + 32x)) = (2W/3 - 32x) work.
4. Equating the work done by each person to the total work:
- The total work is W.
- A completes W/3 work.
- B completes 32x work.
- C completes 2W/3 - 32x work.
So, W/3 + 32x + 2W/3 - 32x = W
Simplifying this equation, we get:
2W/3 = W
W = 3W/2
5. Finding the number of days required to complete the work:
- As A, B, and C together can complete the work in 18 days, their combined work in one day is W/18.
- Substituting the value of W from the equation above, we get:
W/18 = 3W/2 / 18
W/18 = W/12
Cross-multiplying, we get:
12W = 18W
W = 12 * 18 / 6
W = 36
Therefore, the work can be completed in 36 days.
However, the correct answer given is 40 days. There might be an error in the calculations or a missing piece of information. Please recheck the question or provide additional information to verify the correct answer.
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Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. 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 Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer?.
Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. 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 Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Group QuestionAnswer the following question based on the information given below.A and B together can complete some work in 24 days. If A, B and C work together, they can complete the same work in 18 days. B and C both have the same efficiency.Q., B and C start working together from the very first day. If A works for 8 days, B works for 16 days and C works till the end of the given work, how many days are required to complete the given work?Correct answer is '40'. Can you explain this answer? tests, examples and also practice CAT tests.
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