Defence Exam > Defence Questions > A and B can do a piece of work in 30 days, wh...
Start Learning for Free
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
- a)18 days
- b)24 days
- c)30 days
- d)36 days
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A and B can do a piece of work in 30 days, while B and C can do the sa...
2(A + B + C)'s 1 day's work
Therefore, (A + B + C)'s 1 day's work
Work done by A, B, C in 10 days
Now, 1/48 work is done by A in 1 day..
So, 3/8 work will be done by A in
Therefore, (A + B + C)'s 1 day's work
Work done by A, B, C in 10 days
Now, 1/48 work is done by A in 1 day..
So, 3/8 work will be done by A in
Most Upvoted Answer
A and B can do a piece of work in 30 days, while B and C can do the sa...
Given information:
- A and B can do a piece of work in 30 days.
- B and C can do the same work in 24 days.
- C and A can do the same work in 20 days.
- They all work together for 10 days when B and C leave.
To solve this problem, we need to find the individual work rates of A, B, and C, and then determine how long it will take for A to finish the remaining work on their own.
1. Work rates of A, B, and C:
Let's assume that the work done by A in one day is A, by B is B, and by C is C.
From the given information, we can set up the following equations:
1/A + 1/B = 1/30 ---(Equation 1)
1/B + 1/C = 1/24 ---(Equation 2)
1/C + 1/A = 1/20 ---(Equation 3)
2. Solving the equations:
To solve these equations, we can use the method of substitution or elimination. Here, we will use the method of substitution.
From Equation 1, we can express 1/A in terms of B: 1/A = 1/30 - 1/B
Substituting this into Equation 3, we get: 1/C + (1/30 - 1/B) = 1/20
Simplifying the equation, we get: 1/C - 1/B = 1/20 - 1/30
1/C - 1/B = 1/60 ---(Equation 4)
Similarly, we can eliminate A from Equation 2 by substituting 1/A in terms of B:
1/B + 1/C = 1/24
1/B + (1/30 - 1/B) = 1/24
Simplifying the equation, we get: 1/30 + 1/C = 1/24
1/C = 1/24 - 1/30
1/C = 1/120 ---(Equation 5)
Now, we have two equations (Equation 4 and Equation 5) with two variables (B and C). We can solve these equations to find the values of B and C.
Solving Equation 4 and Equation 5, we get:
1/C - 1/B = 1/60 ---(Equation 4)
1/C = 1/120 ---(Equation 5)
Substituting the value of 1/C from Equation 5 into Equation 4, we get:
1/120 - 1/B = 1/60
1/B = 1/60 + 1/120
1/B = 3/120
1/B = 1/40
Therefore, B can complete the work in 40 days.
Substituting the value of B into Equation 1, we can find the value of A:
1/A + 1/40 = 1/30
1/A = 1/30 - 1/40
1/A = 2/120
1/A = 1/60
Therefore, A can complete the work in 60 days.
3. Work done in 10 days:
When A, B, and C work
- A and B can do a piece of work in 30 days.
- B and C can do the same work in 24 days.
- C and A can do the same work in 20 days.
- They all work together for 10 days when B and C leave.
To solve this problem, we need to find the individual work rates of A, B, and C, and then determine how long it will take for A to finish the remaining work on their own.
1. Work rates of A, B, and C:
Let's assume that the work done by A in one day is A, by B is B, and by C is C.
From the given information, we can set up the following equations:
1/A + 1/B = 1/30 ---(Equation 1)
1/B + 1/C = 1/24 ---(Equation 2)
1/C + 1/A = 1/20 ---(Equation 3)
2. Solving the equations:
To solve these equations, we can use the method of substitution or elimination. Here, we will use the method of substitution.
From Equation 1, we can express 1/A in terms of B: 1/A = 1/30 - 1/B
Substituting this into Equation 3, we get: 1/C + (1/30 - 1/B) = 1/20
Simplifying the equation, we get: 1/C - 1/B = 1/20 - 1/30
1/C - 1/B = 1/60 ---(Equation 4)
Similarly, we can eliminate A from Equation 2 by substituting 1/A in terms of B:
1/B + 1/C = 1/24
1/B + (1/30 - 1/B) = 1/24
Simplifying the equation, we get: 1/30 + 1/C = 1/24
1/C = 1/24 - 1/30
1/C = 1/120 ---(Equation 5)
Now, we have two equations (Equation 4 and Equation 5) with two variables (B and C). We can solve these equations to find the values of B and C.
Solving Equation 4 and Equation 5, we get:
1/C - 1/B = 1/60 ---(Equation 4)
1/C = 1/120 ---(Equation 5)
Substituting the value of 1/C from Equation 5 into Equation 4, we get:
1/120 - 1/B = 1/60
1/B = 1/60 + 1/120
1/B = 3/120
1/B = 1/40
Therefore, B can complete the work in 40 days.
Substituting the value of B into Equation 1, we can find the value of A:
1/A + 1/40 = 1/30
1/A = 1/30 - 1/40
1/A = 2/120
1/A = 1/60
Therefore, A can complete the work in 60 days.
3. Work done in 10 days:
When A, B, and C work
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer?
Question Description
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer?.
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?a)18 daysb)24 daysc)30 daysd)36 daysCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup