SSC CHSL Exam > SSC CHSL Questions > A and B together complete a work in 6 days. I...
Start Learning for Free
A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work?
Most Upvoted Answer
A and B together complete a work in 6 days. If time required to comple...
Given information:
- A and B together complete a work in 6 days.
- Time required to complete 90% of work by A is equal to time required to complete 60% of work by B.
Calculations:
Let the total work be 100 units.
- A's 90% work = 90 units
- B's 60% work = 60 units
Time taken by A and B to complete their respective work:
- Let time taken by A to complete 90 units = x days
- Let time taken by B to complete 60 units = y days
According to the given data:
- A's work rate = 90/x
- B's work rate = 60/y
Combined work rate of A and B:
- A and B together complete 100 units of work in 6 days, so their combined work rate = 100/6 = 16.67 units/day
Since A and B work together,
(90/x) + (60/y) = 16.67
Given that time taken by A to complete 90% of the work is equal to time taken by B to complete 60% of the work:
x = y
Substitute y with x in the equation:
(90/x) + (60/x) = 16.67
150/x = 16.67
x = 150/16.67
x ≈ 9 days
Therefore, A takes 9 days to complete 90% of the work, which means A takes 9/0.9 = 10 days to complete 100% of the work.
Time taken by A to complete 50% of the work:
To complete 50% of the work, A would take half the time taken to complete 100% of the work.
Therefore, time taken by A to complete 50% of the work = 10/2 = 5 days.
- A and B together complete a work in 6 days.
- Time required to complete 90% of work by A is equal to time required to complete 60% of work by B.
Calculations:
Let the total work be 100 units.
- A's 90% work = 90 units
- B's 60% work = 60 units
Time taken by A and B to complete their respective work:
- Let time taken by A to complete 90 units = x days
- Let time taken by B to complete 60 units = y days
According to the given data:
- A's work rate = 90/x
- B's work rate = 60/y
Combined work rate of A and B:
- A and B together complete 100 units of work in 6 days, so their combined work rate = 100/6 = 16.67 units/day
Since A and B work together,
(90/x) + (60/y) = 16.67
Given that time taken by A to complete 90% of the work is equal to time taken by B to complete 60% of the work:
x = y
Substitute y with x in the equation:
(90/x) + (60/x) = 16.67
150/x = 16.67
x = 150/16.67
x ≈ 9 days
Therefore, A takes 9 days to complete 90% of the work, which means A takes 9/0.9 = 10 days to complete 100% of the work.
Time taken by A to complete 50% of the work:
To complete 50% of the work, A would take half the time taken to complete 100% of the work.
Therefore, time taken by A to complete 50% of the work = 10/2 = 5 days.
|
Explore Courses for SSC CHSL exam
|
|
Similar SSC CHSL Doubts
Top Courses for SSC CHSLView all
A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work?
Question Description
A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same 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 A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work?.
A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same 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 A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work?.
Solutions for A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same 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 A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work? defined & explained in the simplest way possible. Besides giving the explanation of
A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work?, a detailed solution for A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work? has been provided alongside types of A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same work? theory, EduRev gives you an
ample number of questions to practice A and B together complete a work in 6 days. If time required to complete 90% of work by A is equal to time required to complete 60% of work by of B, then find the time taken by A to complete 50% of the same 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