Answer :

It would take the pump 8 minutes to fill an 80 kL tank.

To determine how long it would take the pump to fill an 80 kiloliter (kL) tank, we first need to determine the rate at which the pump fills the tank.

### Step 1: Calculate the pumping rate

Given that the pump can fill a 1200 kL tank in 2 hours, we can find the rate in kiloliters per hour (kL/hour).

[tex]\[ \text{Pumping rate} = \frac{1200 \text{ kL}}{2 \text{ hours}} = 600 \text{ kL/hour} \][/tex]

### Step 2: Determine the time required to fill an 80 kL tank

Next, we need to find out how long it takes to fill an 80 kL tank at this rate.

[tex]\[ \text{Time (in hours)} = \frac{80 \text{ kL}}{600 \text{ kL/hour}} = \frac{80}{600} \text{ hours} \][/tex]

Simplify the fraction:

[tex]\[ \text{Time (in hours)} = \frac{2}{15} \text{ hours} \][/tex]

### Step 3: Convert the time to minutes

Since there are 60 minutes in an hour, we can convert the time from hours to minutes.

[tex]\[ \text{Time (in minutes)} = \frac{2}{15} \times 60 \][/tex]

[tex]\[ \text{Time (in minutes)} = \frac{120}{15} \][/tex]

[tex]\[ \text{Time (in minutes)} = 8 \][/tex]

Therefore, it would take the pump 8 minutes to fill an 80 kL tank.

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Rewritten by : Barada