The time taken is an illustration of equivalent ratios
It will take 18 minutes to swim 27 laps
The given parameter can be represented using the following ratio
[tex]Ratio =3\ laps : 2\ minutes[/tex]
For 27 laps, the ratio can be represented as:
[tex]Ratio =27\ laps : x[/tex]
Where x represents the time to swim for 27 laps.
Equate both ratios
[tex]Ratio =27\ laps : x=3\ laps : 2\ minutes[/tex]
Rewrite as:
[tex]27\ laps : x=3\ laps : 2\ minutes[/tex]
Express as fractions
[tex]\frac{x}{27\ laps}=\frac{2\ minutes}{3\ laps}[/tex]
Cancel out common units
[tex]\frac{x}{27}=\frac{2\ minutes}{3}[/tex]
Multiply both sides by 27
[tex]x=9 \times 2\ minutes[/tex]
[tex]x=18\ minutes[/tex]
Hence, it will take 18 minutes to swim 27 laps
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