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A and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?
  • a)
    60
  • b)
    30
  • c)
    45
  • d)
    40
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A and B together do a job in 15 days and A alone could do the same job...
Work done by A in 1 day can be given as 1/20th of the total work
Let the work done by B in 1 day be y of the total work
From the problem statement
⇒ 15 × (1/20 + y) = 1
⇒ y = 1/15 - 1/20 = 1/60
Time required by B to complete the work is 60 days
Time required to complete the half work is ½ × 60 = 30 days
∴ The time required to complete half of the work is 30 days
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A and B together do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?a)60b)30c)45d)40Correct answer is option 'B'. Can you explain this answer?
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