Question

There are two tanks (1; 2) and 3 taps: 𝐴 and 𝐵 enter water into tank 1 and 𝐶 drains tank 1 to tank 2. If the capacities are: tank 1 = 200 m3 tank 2 = 100 m3 Key flow rates: 𝐴 = 1 𝑚3 /𝑠 𝐵 = 3 𝑚3 /𝑠 𝐶 = 2 𝑚3 /𝑠 When tank 2 is filled, cock 𝐶 is closed. Find the filling time of both tanks.

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Answer to a math question There are two tanks (1; 2) and 3 taps: 𝐴 and 𝐵 enter water into tank 1 and 𝐶 drains tank 1 to tank 2. If the capacities are: tank 1 = 200 m3 tank 2 = 100 m3 Key flow rates: 𝐴 = 1 𝑚3 /𝑠 𝐵 = 3 𝑚3 /𝑠 𝐶 = 2 𝑚3 /𝑠 When tank 2 is filled, cock 𝐶 is closed. Find the filling time of both tanks.

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Andrea

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Caudal neto al tanque 1: Caudal del grifo A + Caudal del grifo B - Caudal del grifo C = 1 + 3 - 2 = 2m^3/s Tiempo de llenado tanque 1: 200m^3/2 = 100s Tiempo de llenado tanque 2: 100m^3/2 = 50s

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