SSC CHSL Exam > SSC CHSL Questions > (c) A is thrice as good a workman as B and ta...
Start Learning for Free
(c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work?
Most Upvoted Answer
(c) A is thrice as good a workman as B and takes 10 days less to do a ...
Understanding the Problem
To solve the problem, let's first define the work capabilities of both A and B.
Work Efficiency
- Let the amount of work done by B in one day be represented as 1 unit.
- Since A is thrice as good a workman as B, A can complete 3 units of work in one day.
Time Taken to Complete the Work
- Let B take \( x \) days to complete the work.
- Therefore, A takes \( x - 10 \) days to complete the same work.
Setting Up the Equation
- The total work done can be expressed as:
- Work done by B in \( x \) days: \( 1 \times x = x \) units.
- Work done by A in \( x - 10 \) days: \( 3 \times (x - 10) = 3x - 30 \) units.
- Since both A and B complete the same amount of work:
- \( x = 3x - 30 \)
Simplifying the Equation
- Rearranging gives:
- \( 30 = 3x - x \)
- \( 30 = 2x \)
- \( x = 15 \)
Conclusion
- Thus, B can complete the work in **15 days**.
This detailed breakdown provides a clear understanding of the relationship between the work rates of A and B, allowing for a straightforward solution to the problem.
To solve the problem, let's first define the work capabilities of both A and B.
Work Efficiency
- Let the amount of work done by B in one day be represented as 1 unit.
- Since A is thrice as good a workman as B, A can complete 3 units of work in one day.
Time Taken to Complete the Work
- Let B take \( x \) days to complete the work.
- Therefore, A takes \( x - 10 \) days to complete the same work.
Setting Up the Equation
- The total work done can be expressed as:
- Work done by B in \( x \) days: \( 1 \times x = x \) units.
- Work done by A in \( x - 10 \) days: \( 3 \times (x - 10) = 3x - 30 \) units.
- Since both A and B complete the same amount of work:
- \( x = 3x - 30 \)
Simplifying the Equation
- Rearranging gives:
- \( 30 = 3x - x \)
- \( 30 = 2x \)
- \( x = 15 \)
Conclusion
- Thus, B can complete the work in **15 days**.
This detailed breakdown provides a clear understanding of the relationship between the work rates of A and B, allowing for a straightforward solution to the problem.
|
Explore Courses for SSC CHSL exam
|
|
Similar SSC CHSL Doubts
Top Courses for SSC CHSLView all
(c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work?
Question Description
(c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work?.
(c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work?.
Solutions for (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? in English & in Hindi are available as part of our courses for SSC CHSL.
Download more important topics, notes, lectures and mock test series for SSC CHSL Exam by signing up for free.
Here you can find the meaning of (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? defined & explained in the simplest way possible. Besides giving the explanation of
(c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work?, a detailed solution for (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? has been provided alongside types of (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? theory, EduRev gives you an
ample number of questions to practice (c) A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. In how many days can B complete the work? tests, examples and also practice SSC CHSL tests.
|
|
Explore Courses for SSC CHSL 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