Multiple choice

if A completes a piece of work in 3 days , which 'B' completes it in 5 days and 'C' takes 10 days to complete same work .how long will they take to complete the work,if they work together?

  1. $\dfrac{30}{19} \ days$
  2. $\dfrac{30}{17} \ days$
  3. $\dfrac{40}{19} \ days$
  4. $\dfrac{40}{17} \ days$
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A Correct answer
Explanation

Work rates: A=1/3, B=1/5, C=1/10. Combined rate = 1/3 + 1/5 + 1/10 = (10+6+3)/30 = 19/30. Time = 1 / (19/30) = 30/19 days.

AI explanation

Using the standard work formula for combined work, time equals the product of the individual times divided by the sum of their pairwise products: (A * B * C) / (AB + BC + CA). Substituting the given values, we get (3 * 5 * 10) / ((3 * 5) + (5 * 10) + (10 * 3)) = 150 / (15 + 50 + 30). This simplifies to 150 / 95, which equals 30/19 days.

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