Quant Exam > Quant Questions > Among four persons Anuj, Bhim, Carl and Dines...
Start Learning for Free
Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.
- a)20 days
- b)30 days
- c)40 days
- d)50 days
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as m...
Let Bhim takes x days alone to complete the job, so Anuj will take 3x days, Carl will take x/3 days and Dinesh will take x/9 days to complete the work alone
1/3x + 1/x + 3/x + 9/x = 1/3
Solve for x
1/3x + 1/x + 3/x + 9/x = 1/3
Solve for x
Most Upvoted Answer
Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as m...
A:B:C:D TIME RATIO 27:9:3:1
A:B:C:D WORK RATIO 1:3:9:27
So total work= 40 work/day
so total work in 3 days = 3*40 work (as it took 3 days to complete the task completely working all 4 people simultaneously)
so B will complete the task = total task / B's per day work
= 120/3=40 days.
Option C . DON'T MAKE IT HARD.
1/X + BLA BLA ARE NONSENSE ,THEY ALL TAKE SIGNIFICANT AMOUNT OF TIME.
A:B:C:D WORK RATIO 1:3:9:27
So total work= 40 work/day
so total work in 3 days = 3*40 work (as it took 3 days to complete the task completely working all 4 people simultaneously)
so B will complete the task = total task / B's per day work
= 120/3=40 days.
Option C . DON'T MAKE IT HARD.
1/X + BLA BLA ARE NONSENSE ,THEY ALL TAKE SIGNIFICANT AMOUNT OF TIME.
Free Test
FREE
| Start Free Test |
Community Answer
Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as m...
Let's solve the problem step by step.
1. Assign variables:
- Let's assume that Dinesh takes x days to complete the work.
- Therefore, Carl will take 3x days, Bhim will take 9x days, and Anuj will take 27x days to complete the work.
2. Calculate the work done per day:
- If Dinesh takes x days to complete the work, then he completes 1/x of the work in one day.
- Similarly, Carl completes 1/(3x) of the work in one day, Bhim completes 1/(9x) of the work in one day, and Anuj completes 1/(27x) of the work in one day.
3. Calculate the total work done in 3 days:
- Since they all work together for 3 days, the total work done will be the sum of the work done by each person in 3 days.
- Total work done = (1/x + 1/(3x) + 1/(9x) + 1/(27x)) * 3
4. Simplify the expression:
- Total work done = (1/x) * (1 + 1/3 + 1/9 + 1/27) * 3
- Total work done = (1/x) * (40/27) * 3
- Total work done = (3/9) * (40/27) * 3
- Total work done = (40/27)
5. Set up the equation:
- The total work done is equal to 1 (since they complete the whole work), so we can set the equation:
- (40/27) = 1/x
6. Solve for x:
- Cross-multiply the equation:
- 40x = 27
- x = 27/40
7. Calculate the time taken by Bhim:
- Bhim takes 9x days to complete the work, so substituting the value of x:
- Bhim takes 9 * (27/40) days
- Bhim takes 243/40 days
Therefore, the time taken by Bhim alone to complete the work is 243/40 days, which is approximately 6.075 days.
Since none of the given options match the calculated value, the correct answer is e) None of these.
1. Assign variables:
- Let's assume that Dinesh takes x days to complete the work.
- Therefore, Carl will take 3x days, Bhim will take 9x days, and Anuj will take 27x days to complete the work.
2. Calculate the work done per day:
- If Dinesh takes x days to complete the work, then he completes 1/x of the work in one day.
- Similarly, Carl completes 1/(3x) of the work in one day, Bhim completes 1/(9x) of the work in one day, and Anuj completes 1/(27x) of the work in one day.
3. Calculate the total work done in 3 days:
- Since they all work together for 3 days, the total work done will be the sum of the work done by each person in 3 days.
- Total work done = (1/x + 1/(3x) + 1/(9x) + 1/(27x)) * 3
4. Simplify the expression:
- Total work done = (1/x) * (1 + 1/3 + 1/9 + 1/27) * 3
- Total work done = (1/x) * (40/27) * 3
- Total work done = (3/9) * (40/27) * 3
- Total work done = (40/27)
5. Set up the equation:
- The total work done is equal to 1 (since they complete the whole work), so we can set the equation:
- (40/27) = 1/x
6. Solve for x:
- Cross-multiply the equation:
- 40x = 27
- x = 27/40
7. Calculate the time taken by Bhim:
- Bhim takes 9x days to complete the work, so substituting the value of x:
- Bhim takes 9 * (27/40) days
- Bhim takes 243/40 days
Therefore, the time taken by Bhim alone to complete the work is 243/40 days, which is approximately 6.075 days.
Since none of the given options match the calculated value, the correct answer is e) None of these.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. 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 Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. 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 Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. 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 Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Among four persons Anuj, Bhim, Carl and Dinesh. Anuj takes thrice as much time as Bhim to complete a piece of work. Bhim takes thrice as much time as Carl and Carl takes thrice as much time as Dinesh to complete the same work. If all together they take 3 days to complete the work. Find the time taken by Bhim alone to complete the work alone.a)20 daysb)30 daysc)40 daysd)50 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup