Quant Exam > Quant Questions > Arun is twice efficient as Bala and together ...
Start Learning for Free
Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?
- a)12 days
- b)18 days
- c)24 days
- d)30 days
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Arun is twice efficient as Bala and together they do the same work in ...
1/x + 1/2x = 1/20 + 1/30
3/2x = 1/12
Number of days taken by Arun = 18 days
3/2x = 1/12
Number of days taken by Arun = 18 days
Most Upvoted Answer
Arun is twice efficient as Bala and together they do the same work in ...
Let's assume that the total work to be done is 1 unit.
Given information:
- Arun is twice as efficient as Bala. This means that Arun can do the work in half the time it takes Bala to do the work.
- Chitra can complete the work in 20 days, so her efficiency is 1/20.
- David can complete the work in 30 days, so his efficiency is 1/30.
- Arun and Bala together can complete the work in the same time as Chitra and David together.
Now, let's calculate the efficiency of Bala and Arun:
- Let Bala's efficiency be x, then Arun's efficiency will be 2x.
- Bala's efficiency is 1/time taken by Bala to complete the work, so x = 1/t (where t is the time taken by Bala to complete the work).
Since Arun is twice as efficient as Bala, his efficiency is 2/t.
Now, let's calculate the time taken by Arun and Bala together to complete the work:
- The combined efficiency of Arun and Bala is (2/t) + (1/t) = 3/t.
- The time taken by Arun and Bala together to complete the work is 1/(3/t) = t/3.
According to the given information, Arun and Bala together take the same time as Chitra and David together to complete the work.
- Chitra takes 20 days to complete the work, so her efficiency is 1/20.
- David takes 30 days to complete the work, so his efficiency is 1/30.
Now, let's calculate the time taken by Chitra and David together to complete the work:
- The combined efficiency of Chitra and David is (1/20) + (1/30) = 5/60 = 1/12.
- The time taken by Chitra and David together to complete the work is 1/(1/12) = 12 days.
Since Arun and Bala together take the same time as Chitra and David together, it means that t/3 = 12.
- Solving this equation, we get t = 36.
Therefore, Arun takes 36 days to complete the work individually, which is twice as efficient as Bala. So, Bala will take twice the time taken by Arun.
- Therefore, Bala takes 36 x 2 = 72 days to complete the work individually.
Hence, the correct answer is option B) 18 days, which is the time taken by Arun to complete the work individually.
Given information:
- Arun is twice as efficient as Bala. This means that Arun can do the work in half the time it takes Bala to do the work.
- Chitra can complete the work in 20 days, so her efficiency is 1/20.
- David can complete the work in 30 days, so his efficiency is 1/30.
- Arun and Bala together can complete the work in the same time as Chitra and David together.
Now, let's calculate the efficiency of Bala and Arun:
- Let Bala's efficiency be x, then Arun's efficiency will be 2x.
- Bala's efficiency is 1/time taken by Bala to complete the work, so x = 1/t (where t is the time taken by Bala to complete the work).
Since Arun is twice as efficient as Bala, his efficiency is 2/t.
Now, let's calculate the time taken by Arun and Bala together to complete the work:
- The combined efficiency of Arun and Bala is (2/t) + (1/t) = 3/t.
- The time taken by Arun and Bala together to complete the work is 1/(3/t) = t/3.
According to the given information, Arun and Bala together take the same time as Chitra and David together to complete the work.
- Chitra takes 20 days to complete the work, so her efficiency is 1/20.
- David takes 30 days to complete the work, so his efficiency is 1/30.
Now, let's calculate the time taken by Chitra and David together to complete the work:
- The combined efficiency of Chitra and David is (1/20) + (1/30) = 5/60 = 1/12.
- The time taken by Chitra and David together to complete the work is 1/(1/12) = 12 days.
Since Arun and Bala together take the same time as Chitra and David together, it means that t/3 = 12.
- Solving this equation, we get t = 36.
Therefore, Arun takes 36 days to complete the work individually, which is twice as efficient as Bala. So, Bala will take twice the time taken by Arun.
- Therefore, Bala takes 36 x 2 = 72 days to complete the work individually.
Hence, the correct answer is option B) 18 days, which is the time taken by Arun to complete the work individually.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Arun is twice efficient as Bala and together they do the same work in as much time as Chitra and David together. If Chitra and David can complete the work in 20 and 30 days respectively, working alone, then in how many days A can complete the work individually?a)12 daysb)18 daysc)24 daysd)30 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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