Sure, let's go through the solution step-by-step:
1. Identify the Given Information:
- The capacity of the water tank is 4,000 liters.
- The tap can fill a volume incorrectly stated as "6, oo lo curter" in 3 hours. Let's assume, based on context, that this is meant to be 6,000 cubic meters.
2. Clarify the Units:
- Since 1 cubic meter is equivalent to 1,000 liters, 6,000 cubic meters would be:
[tex]\[
6,000 \text{ cubic meters} \times 1,000 \text{ liters/cubic meter} = 6,000,000 \text{ liters}.
\][/tex]
3. Determine the Fill Rate of the Tap:
- The tap fills 6,000,000 liters in 3 hours. To find the fill rate per hour, we divide the total volume by the number of hours:
[tex]\[
\frac{6,000,000 \text{ liters}}{3 \text{ hours}} = 2,000,000 \text{ liters/hour}.
\][/tex]
4. Calculate the Time to Fill the 4,000-liter Tank:
- The fill rate of the tap is 2,000,000 liters per hour. We need to find how long it takes to fill a tank with a capacity of 4,000 liters:
[tex]\[
\frac{4,000 \text{ liters}}{2,000,000 \text{ liters/hour}} = 0.002 \text{ hours}.
\][/tex]
5. Result Interpretation:
- The time required to fill the 4,000-liter tank is 0.002 hours.
Thus, the tap will take 0.002 hours to fill the water tank with a capacity of 4,000 liters completely.
