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ANSWER

15 minutes per meter

EXPLANATION

To find the unit rate in minutes per meter, we have to divide the number of minutes it takes to fill 2/5 meters of the tank by 2/5 meters:

[tex]6\div\frac{2}{5}[/tex]

Using the KCF method:

Keep the first fraction - which in this case has a denominator of 1

Change the division sign into a multiplication sign

Flip the second fraction

[tex]6\times\frac{5}{2}[/tex]

And then do the multiplication:

[tex]\frac{6\times5}{2}=\frac{30}{2}[/tex]

And simplify:

[tex]\frac{30}{2}=15[/tex]

So the unit rate is 15 minutes per meter

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