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Sunil completes a work in 4 days whereas Hrithik completes the work in 6 days. Ramesh work 1 ½ times as fast as Sunil. How many days it will take for the three together the complete the work?
  • a)
    7/12
  • b)
    15/12
  • c)
    15/7 
  • d)
    16/7 
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
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Sunil completes a work in 4 days whereas Hrithik completes the work in...


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Sunil completes a work in 4 days whereas Hrithik completes the work in...
Let us assume the total work to be 12 units (LCM of 4 and 6).
- Sunil completes 3 units of work in a day.
- Hrithik completes 2 units of work in a day.
- Ramesh works 1 times as fast as Sunil, so he completes 3 units of work in a day.

Now, let us assume that they work together for x days to complete the work.

- In x days, Sunil will complete 3x units of work.
- In x days, Hrithik will complete 2x units of work.
- In x days, Ramesh will complete 3x units of work.

Together, they will complete (3x + 2x + 3x) units of work in x days, which is equal to 12 units of work (total work).

Therefore,

- 8x = 12
- x = 3/2

So, they will take 3/2 days to complete the work together.

Since none of the options match, we can conclude that the correct answer is option E (None of these).
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Sunil completes a work in 4 days whereas Hrithik completes the work in 6 days. Ramesh work 1 ½ times as fast as Sunil. How many days it will take for the three together the complete the work?a)7/12b)15/12c)15/7d)16/7e)None of theseCorrect answer is option 'E'. Can you explain this answer?
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