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Efficiency of vipin is 25% more than piyush and piyush takes 25 days to complete the work.vipin started work alone and piyush joined him 5 days before the completion of work.for how many days vipin worked alone?
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Efficiency of vipin is 25% more than piyush and piyush takes 25 days t...



Calculation of Days Vipin Worked Alone:


  1. Efficiency Comparison:
    Vipin's efficiency is 25% more than Piyush's efficiency.


  2. Piyush's Efficiency:
    Let Piyush's efficiency be x.
    So, Vipin's efficiency = x + 25% of x = x + 0.25x = 1.25x


  3. Time taken by Piyush:
    Piyush takes 25 days to complete the work.


  4. Days worked by Vipin and Piyush together:
    Let Vipin worked alone for 'd' days.
    So, Piyush worked for (25-d) days.


  5. Work done by Vipin and Piyush together:
    Since work is done in 25 days:
    1.25x * d + x * (25-d) = 1


  6. Solving the Equation:
    1.25xd + 25x - xd = 1
    0.25xd = 25x - 1
    d = (25x - 1) / 0.25x


  7. Substitute Piyush's Efficiency:
    Substitute x = 1/25 (as Piyush takes 25 days to complete the work):
    d = (25*(1/25) - 1) / 0.25(1/25)
    d = 24 / 0.25
    d = 96


  8. Vipin worked alone for:
    Therefore, Vipin worked alone for 96 days.



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Efficiency of vipin is 25% more than piyush and piyush takes 25 days to complete the work.vipin started work alone and piyush joined him 5 days before the completion of work.for how many days vipin worked alone?
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