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A is thrice as good a work man as B and takes 10 days less to do a piece of work than B takes. The number of days taken by B to finish the work is:
- a)9
- b)18
- c)15
- d)12
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A is thrice as good a work man as B and takes 10 days less to do a pie...
(Since number of days are inversely proportional to the efficiency)
Now if A requires x days, so B requires 3x days.
∴ Difference of required days = (3x - x) = 2x = 10
► ⇒ x = 5
Hence the number of days required by
► B = 3x = 3 x 5 = 15 days
Most Upvoted Answer
A is thrice as good a work man as B and takes 10 days less to do a pie...
Let's assume that B takes x days to finish the work.
Given that A is thrice as good as B, it means that A can complete the work in one-third of the time taken by B.
So, the time taken by A to finish the work would be x/3 days.
It is also given that A takes 10 days less than B to complete the work.
So, we can write the equation:
x - 10 = x/3
To solve this equation, we can multiply both sides by 3 to eliminate the fraction:
3(x - 10) = x
3x - 30 = x
Now, we can simplify the equation by subtracting x from both sides:
3x - x = 30
2x = 30
Dividing both sides by 2:
x = 15
Therefore, B takes 15 days to finish the work.
Hence, the correct answer is option C) 15.
Given that A is thrice as good as B, it means that A can complete the work in one-third of the time taken by B.
So, the time taken by A to finish the work would be x/3 days.
It is also given that A takes 10 days less than B to complete the work.
So, we can write the equation:
x - 10 = x/3
To solve this equation, we can multiply both sides by 3 to eliminate the fraction:
3(x - 10) = x
3x - 30 = x
Now, we can simplify the equation by subtracting x from both sides:
3x - x = 30
2x = 30
Dividing both sides by 2:
x = 15
Therefore, B takes 15 days to finish the work.
Hence, the correct answer is option C) 15.
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A is thrice as good a work man as B and takes 10 days less to do a piece of work than B takes. The number of days taken by B to finish the work is:a)9b)18c)15d)12Correct answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A is thrice as good a work man as B and takes 10 days less to do a piece of work than B takes. The number of days taken by B to finish the work is:a)9b)18c)15d)12Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A is thrice as good a work man as B and takes 10 days less to do a piece of work than B takes. The number of days taken by B to finish the work is:a)9b)18c)15d)12Correct answer is option 'C'. Can you explain this answer?.
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