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To solve this problem, let's break down the information step by step:

We are given:
- **Three faucets (grifos)**:
  1. Faucet 1 fills **50 liters in 5 minutes**, so its rate is \( \frac{50}{5} = 10 \) liters per minute.
  2. Faucet 2 fills **91 liters in 7 minutes**, so its rate is \( \frac{91}{7} \approx 13 \) liters per minute.
  3. Faucet 3 fills **108 liters in 12 minutes**, so its rate is \( \frac{108}{12} = 9 \) liters per minute.
  
- **Two drains (desagües)**:
  1. Drain 1 removes **40 liters in 5 minutes**, so its rate is \( \frac{40}{5} = 8 \) liters per minute.
  2. Drain 2 removes **60 liters in 6 minutes**, so its rate is \( \frac{60}{6} = 10 \) liters per minute.

### Total inflow rate:
The inflow rate from all three faucets is:
\[
10 + 13 + 9 = 32 \text{ liters per minute}.
\]

### Total outflow rate:
The outflow rate from both drains is:
\[
8 + 10 = 18 \text{ liters per minute}.
\]

### Net rate (filling rate):
The net filling rate is:
\[
32 - 18 = 14 \text{ liters per minute}.
\]

### Total time:
The total time given for filling the tank is **40 minutes**.

### Capacity of the tank:
Since the net filling rate is 14 liters per minute, and the tank takes 40 minutes to fill, the total capacity of the tank is:
\[
14 \times 40 = 560 \text{ liters}.
\]

Therefore, the capacity of the tank is **560 liters**.

Would you like any further details or have additional questions?

### Related Questions:
1. What would happen if one of the drains were closed?
2. How would the result change if the filling rate of Faucet 2 were different?
3. How long would it take to fill the tank if only Faucet 1 were used?
4. What if the drains removed water at a slower rate—how would that affect the capacity?
5. How could the problem be solved if the times were different for the drains?

### Tip:
Always calculate the net rate (filling rate minus drain rate) to find how fast the tank is being filled.

Un estanque tiene tres grifos que vierten: el 1° 50 litros en 5 minutos; el 2° 91 litros en 7 minutos y el 3° 108 litros en 12 minutos, y dos desagües por los que salen 40 litros en 5 minutos y 60 litros en 6 minutos, respectivamente. Si estando vacío el estanque y abiertos los desagües, se abren las tres llaves al mismo tiempo, 40 minutos para llenarse. ¿Cuál es su capacidad?

Solve a tank capacity problem involving three faucets and two drains with given inflow and outflow rates. Learn how to calculate the net rate and determine the tank's capacity over 40 minutes. Suitable for students in Grades 8-10.

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