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When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?
  • a)
    16
  • b)
    22
  • c)
    20
  • d)
    18
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
When they work alone, B needs 25% more time to finish a job than...
Assume A and B works for 'a' units/day and 'b' units/day respectively. Take the work done to be of 100 units.
A works for 50%
B works for the last 5%
So, A+B must work for 45% of the work
Hence, 4 ( a + b ) = 45 Equation (1)

Given ratio of A:B = 5:4 ( Efficiency )
Putting a=5k, b=4k in equation (1),
4. 9k = 45
k = 5/4

b= 5 units/day

Required: 100/5=20
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When they work alone, B needs 25% more time to finish a job than...
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When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?a)16b)22c)20d)18Correct 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 When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?a)16b)22c)20d)18Correct 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 When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?a)16b)22c)20d)18Correct answer is option 'C'. Can you explain this answer?.
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