A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 9 hours.

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A cistern can be filled by a tap in hours while it can be emptied by another tap in hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

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Calculated Answer

11.25

Step by Step Solution

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

• 1 / (1 / n₀ - 1 / n₁)

• Evaluate 1 / n₀ = 0.2

  1 / (0.2 - 1 / n₁)

• Evaluate 1 / n₁ = 0.11111111111111

  1 / (0.2 - 0.11111111111111)

• Evaluate 0.2 - 0.11111111111111 = 0.088888888888889

  1 / 0.088888888888889

• Evaluate 1 / 0.088888888888889 = 11.25

  11.25
• The answer to the problem and the result of 1 / (1 / n₀ - 1 / n₁) is 11.25