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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)
    20
  • b)
    22
  • c)
    16
  • d)
    18
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
When they work alone, B needs 25% more time to finish a job than A doe...
Let us assume that A can complete 'a' units of work in a day and B can complete 'b' units of work in a day.
A works alone till half the work is completed.
A and B work together for 4 days and B works alone to complete the last 5% of the work. => A and B in 4 days can complete 45% of the work.
Let us assume the total amount of work to be done to be 100 units.
4a + 4b = 45 ---------(1)
B needs 25% more time than A to finish a job. => 1.25*b = a ----------(2)
Substituting (2) in (1), we get,
5b+4b = 45
9b = 45 b = 5 units/day
B alone can finish the job in 100/5 = 20 days.
Therefore, option A is the right answer.
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Most Upvoted Answer
When they work alone, B needs 25% more time to finish a job than A doe...
Ratio of efficiency of a and b is
A:B
5:4

A does 50% of the work, then
(A+B) do 45% of total work in 4 days and at last B does 5% of the total work
means
(A+B)4=45x/100. where x=total work
36*100/45=x
x=80 unit
then B will finish in 80/4=20 days
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When they work alone, B needs 25% more time to finish a job than A doe...
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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)20b)22c)16d)18Correct answer is option 'A'. Can you explain this answer?
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