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A can work twice as fast as B. If they work together complete a work in 12 days , then in how many days will B alone complete this work ?
Verified Answer
A can work twice as fast as B. If they work together complete a work i...
A works twice as fast as B. A and B finish a job in 12 days, working together.
Let A take x days to do the work, alone. So he does (1/x)th of the work in a day.
Then B take 2x days to do the work, alone. So he does (1/2x)th of the work in a day.
A do B together do (1/x)+(1/2x) = (1/12), or
3/2x = 1/12, r
2x = 36, or
x = 18
So A does the work in 18 days while B does the same work in 36 days, each working alone.
Check: (1/18)+(1/36) = (3/36) = 1/12. Correct.
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
A can work twice as fast as B. If they work together complete a work i...
Problem Analysis:
Let's assume that B takes x days to complete the work alone. Therefore, A will take half the time i.e. x/2 days to complete the same work alone.
When they work together, their combined efficiency will be the sum of their individual efficiencies. So, the equation can be formed as:
1/x + 2/x = 1/12
Solving this equation, we will get the value of x which is the number of days B will take to complete the work alone.
Solution:
Given that A can work twice as fast as B. So, if B takes x days to complete the work alone, then A will take x/2 days to complete the same work alone.
When they work together, their combined efficiency will be:
Efficiency of A + Efficiency of B = 1/12 (as they complete the work in 12 days when working together)
Substituting the individual efficiencies in the above equation, we get:
1/(x/2) + 1/x = 1/12
2/x + 1/x = 1/12
3/x = 1/12
x = 36
Therefore, B alone will complete the work in 36 days.
Answer:
B alone will complete the work in 36 days.
Community Answer
A can work twice as fast as B. If they work together complete a work i...
1/12 days
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A can work twice as fast as B. If they work together complete a work in 12 days , then in how many days will B alone complete this work ?
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A can work twice as fast as B. If they work together complete a work in 12 days , then in how many days will B alone complete this work ? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A can work twice as fast as B. If they work together complete a work in 12 days , then in how many days will B alone complete this work ? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can work twice as fast as B. If they work together complete a work in 12 days , then in how many days will B alone complete this work ?.
A can work twice as fast as B. If they work together complete a work in 12 days , then in how many days will B alone complete this work ? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A can work twice as fast as B. If they work together complete a work in 12 days , then in how many days will B alone complete this work ? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can work twice as fast as B. If they work together complete a work in 12 days , then in how many days will B alone complete this work ?.
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