Multiple choice

S and V can do a work in 12 days. M and S can do the same work in 16 days. M and V can do the same work in 24 days. In how many days S, V and M together can complete the same work?

  1. 32/3

  2. 10

  3. 16/3

  4. 11
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A Correct answer
Explanation

Let S, V, M be the rates of work per day. S+V = 1/12, M+S = 1/16, M+V = 1/24. Adding all three equations: 2(S+V+M) = 1/12 + 1/16 + 1/24 = (4+3+2)/48 = 9/48 = 3/16. Therefore S+V+M = 3/32. Time taken together = 32/3 days.

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