Banking Exams Exam > Banking Exams Questions > The ratio of the time taken to complete the ...
Start Learning for Free
The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?
- a)Rs.410
- b)Rs.630
- c)Rs.575
- d)Rs.750
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The ratio of the time taken to complete the work by A to B is 5 : 3 a...
Given Information:
- Ratio of time taken by A to B: 5 : 3
- Time taken by B alone is 1/5th of the time taken by C alone
- Total wages earned by A, B, and C together is Rs.1035
Calculations:
Let's assume the time taken by A is 5x and the time taken by B is 3x.
- Time taken by B alone = 1/5 * time taken by C alone
Let the time taken by C alone be y.
Therefore, 3x = y/5
=> y = 15x
- Total time taken when A, B, and C work together = 1/(1/5 + 1/3 + 1/15) (LCM of 5, 3, 15)
= 1/(3/15 + 5/15 + 1/15) = 1/(9/15) = 15/9 = 5/3
Now, let's assume the efficiency of A, B, and C are a, b, and c respectively.
- Efficiency of A (a) = 1/5x
- Efficiency of B (b) = 1/3x
- Efficiency of C (c) = 1/15x
- Total efficiency (a + b + c) = 5/15x + 3/15x + 1/15x = 9/15x = 3/5x
- Total wages = (Total efficiency) * (Total time taken) * (Wages per day)
Rs.1035 = (3/5x) * (5/3) * (Wages per day)
Rs.1035 = 1 * Wages per day
Wages per day = Rs.1035
Wages of B:
As B's efficiency is 1/3x, the wages of B = (1/3x) * (Rs.1035) = Rs.575
Therefore, the wages of B are Rs.575.
- Ratio of time taken by A to B: 5 : 3
- Time taken by B alone is 1/5th of the time taken by C alone
- Total wages earned by A, B, and C together is Rs.1035
Calculations:
Let's assume the time taken by A is 5x and the time taken by B is 3x.
- Time taken by B alone = 1/5 * time taken by C alone
Let the time taken by C alone be y.
Therefore, 3x = y/5
=> y = 15x
- Total time taken when A, B, and C work together = 1/(1/5 + 1/3 + 1/15) (LCM of 5, 3, 15)
= 1/(3/15 + 5/15 + 1/15) = 1/(9/15) = 15/9 = 5/3
Now, let's assume the efficiency of A, B, and C are a, b, and c respectively.
- Efficiency of A (a) = 1/5x
- Efficiency of B (b) = 1/3x
- Efficiency of C (c) = 1/15x
- Total efficiency (a + b + c) = 5/15x + 3/15x + 1/15x = 9/15x = 3/5x
- Total wages = (Total efficiency) * (Total time taken) * (Wages per day)
Rs.1035 = (3/5x) * (5/3) * (Wages per day)
Rs.1035 = 1 * Wages per day
Wages per day = Rs.1035
Wages of B:
As B's efficiency is 1/3x, the wages of B = (1/3x) * (Rs.1035) = Rs.575
Therefore, the wages of B are Rs.575.
Free Test
FREE
| Start Free Test |
Community Answer
The ratio of the time taken to complete the work by A to B is 5 : 3 a...
The ratio of the time taken by A, B and C to complete the work = 5 : 3 : (3 * 5/1) = 5 : 3 : 15
The ratio of the efficiency of A, B and C = (1/5) : (1/3) : (1/15) = 3:5:1
The wages of C = 1035 * 5/(3 + 5 + 1) = 1035 * 5/9 = Rs.575
|
Explore Courses for Banking Exams exam
|
|
Similar Banking Exams Doubts
Top Courses for Banking ExamsView all
The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratio of the time taken to complete the work by A to B is 5 : 3 and the time taken by B alone to complete the work is 1/5th of the time taken by C alone to complete the work. If A, B and C together completed the work and they are gets the total wages is Rs.1035, then find the wages of B?a)Rs.410b)Rs.630c)Rs.575d)Rs.750e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
|
|
Explore Courses for Banking Exams 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup