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Raman takes twice time as much as Ajay to do a work. If they work together, the work is completed in 12 days. How many days will Raman take to complete the work alone?
  • a)
    24 days
  • b)
    32 days
  • c)
    34 days
  • d)
    36 days
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Raman takes twice time as much as Ajay to do a work. If they work toge...
Let the number of days in which Ajay finishes the work be ‘d’ days.
Raman takes twice time, thus number of days in which Raman finishes the work = 2d days.
In 1 day, Ajay finishes 1/d part of the work while Ajay finishes 1/2d part of the work
Working together, in one day, they finish part of work = 1/d + 1/2d = 3/2d
∴ Number of days in which they finish the work = 2d/3
Given, they take 12 days to finish the work.
∴ 2d/3 = 12
⇒ d = 18 days
∴ Number of days Raman will take = 2d = 36 days
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Raman takes twice time as much as Ajay to do a work. If they work together, the work is completed in 12 days. How many days will Raman take to complete the work alone?a)24 daysb)32 daysc)34 daysd)36 daysCorrect answer is option 'D'. Can you explain this answer?
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