SSC CHSL Exam > SSC CHSL Questions > A and B working separately can do a piece of ...
Start Learning for Free
A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed?
Most Upvoted Answer
A and B working separately can do a piece of work in 8 and 10 hours re...
Understanding A and B's Work Rates
To solve the problem, we first need to determine the work rates of A and B.
Calculating Combined Work in Two Hours
Since A and B work alternately, they will complete work in cycles of 2 hours:
Combined Work Done in 2 Hours
To find out how much work is done in 2 hours:
Calculating Total Time Required
Next, we need to determine how many complete 2-hour cycles are needed to finish the entire work:
Final Calculation of Hours
Since each cycle is 2 hours:
Conclusion
Therefore, the work will be completed in approximately 8 hours and 54 minutes.
To solve the problem, we first need to determine the work rates of A and B.
- A's Rate: A can complete the work in 8 hours, so A's work rate is 1/8 of the work per hour.
- B's Rate: B can complete the work in 10 hours, so B's work rate is 1/10 of the work per hour.
Calculating Combined Work in Two Hours
Since A and B work alternately, they will complete work in cycles of 2 hours:
- Hour 1: A works and completes 1/8 of the work.
- Hour 2: B works and completes 1/10 of the work.
Combined Work Done in 2 Hours
To find out how much work is done in 2 hours:
- Total Work in 2 Hours:
(1/8 + 1/10) = (5/40 + 4/40) = 9/40
Calculating Total Time Required
Next, we need to determine how many complete 2-hour cycles are needed to finish the entire work:
- Total Work: 1 (the entire piece of work)
- Cycles Required: 1 / (9/40) = 40/9 cycles, which is approximately 4.44 cycles.
Final Calculation of Hours
Since each cycle is 2 hours:
- Time Taken: (40/9) * 2 = 80/9 hours or approximately 8.89 hours.
Conclusion
Therefore, the work will be completed in approximately 8 hours and 54 minutes.
|
Explore Courses for SSC CHSL exam
|
|
Similar SSC CHSL Doubts
Top Courses for SSC CHSLView all
A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed?
Question Description
A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? 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 working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed?.
A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? 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 working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed?.
Solutions for A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? 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 working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? defined & explained in the simplest way possible. Besides giving the explanation of
A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed?, a detailed solution for A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? has been provided alongside types of A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? theory, EduRev gives you an
ample number of questions to practice A and B working separately can do a piece of work in 8 and 10 hours respectively. If they work for an hour alternately A beginning, in how many hours will the work be completed? 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