A can finish a piece of work in 4 days.

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A can finish a piece of work in days. B can do it in days. They work together for two days and then a goes away. In how many days will b finish the work?

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Calculated Answer

5

Step by Step Solution

In order to solve problem, you must evaluate (1 - (1 / n₀ * 2 + 1 / n₁ * 2)) / (1 / n₁).

• (1 - (1 / n₀ * 2 + 1 / n₁ * 2)) / (1 / n₁)

• Evaluate 1 / n₀ = 0.25

  (1 - (0.25 * 2 + 1 / n₁ * 2)) / (1 / n₁)

• Evaluate 0.25 * 2 = 0.5

  (1 - (0.5 + 1 / n₁ * 2)) / (1 / n₁)

• Evaluate 1 / n₁ = 0.071428571428571

  (1 - (0.5 + 0.071428571428571 * 2)) / (1 / n₁)

• Evaluate 0.071428571428571 * 2 = 0.14285714285714

  (1 - (0.5 + 0.14285714285714)) / (1 / n₁)

• Evaluate 0.5 + 0.14285714285714 = 0.64285714285714

  (1 - 0.64285714285714) / (1 / n₁)

• Evaluate 1 - 0.64285714285714 = 0.35714285714286

  0.35714285714286 / (1 / n₁)

• Evaluate 1 / n₁ = 0.071428571428571

  0.35714285714286 / 0.071428571428571

• Evaluate 0.35714285714286 / 0.071428571428571 = 5

  5
• The answer to the problem and the result of (1 - (1 / n₀ * 2 + 1 / n₁ * 2)) / (1 / n₁) is 5