Multiple choice

Vikas can do a piece of work in 12 days. Ramesh can do the same work in 15 days and Vimal in 20 days. Vikas and Vimal worked for 3 days and handed it to Ramesh. Ramesh worked for some days and handed it again to Vikas and Vimal 2 days before completing the work. For how many days did Ramesh work?

  1. 5 days

  2. 6 days

  3. 4 days

  4. 3 days

  5. None of these
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A Correct answer
Explanation

Vikas: 1/12 per day, Vimal: 1/20 per day, Ramesh: 1/15 per day. Vikas and Vimal work 3 days: 3(1/12 + 1/20) = 3(8/60) = 24/60 = 2/5 done. Ramesh works d days, then V + V work 2 days. d/15 + 2(1/12 + 1/20) = 3/5. d/15 + 16/60 = 36/60. d/15 = 20/60 = 1/3. d = 5 days.

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