Multiple choice

Shivam works twice as fast as Ajay and Ajay can independently complete the work in 6 days. Find the number of days in which Shivam and Ajay can together complete the work.

  1. 2 days

  2. 12 days

  3. 4 days

  4. 6 days

  5. None of these
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A Correct answer
Explanation

Ajay takes 6 days. Shivam is twice as fast, so he takes 3 days. Together, their rates are 1/6 + 1/3 = 3/6 = 1/2. They take 2 days to complete the work.

AI explanation

Shivam works twice as fast as Ajay, so if Ajay takes 6 days, Shivam takes 3 days to complete the work alone. Their combined one day work is 1/6 plus 1/3, which equals 1/2. The reciprocal of 1/2 is 2, so they complete the work together in 2 days.

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