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A किसी काम को 12 दिनों में संपन्न करता है। B की कार्यक्षमता A की अपेक्षा 60 प्रतिशत अधिक है तो उस काम को B कितने दिनों में संपन्न करेगा ?

Mathematics

ScanSolve AI Answer

Answer

7.5 days7.5 \text{ days}

Step-by-step solution

3 steps
  1. A completes 1 unit of work in 12 days.

    A's work rate = 112\frac{1}{12} unit per day.

  2. B's capacity is 60% more than A's.

    60% = 60100=35\frac{60}{100} = \frac{3}{5}.
    B's work rate = (1+35)×112\left(1 + \frac{3}{5}\right) \times \frac{1}{12} unit per day
    =85×112= \frac{8}{5} \times \frac{1}{12} unit per day
    =860= \frac{8}{60} unit per day
    =215= \frac{2}{15} unit per day.

  3. Time taken by B to complete 1 unit of work

    =1215= \frac{1}{\frac{2}{15}} days
    =152= \frac{15}{2} days
    =7.5= 7.5 days.

    7.5 days7.5 \text{ days}
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