Respuesta :
Andrew swims 5/12 of a lap in 1/4 of a minute. And we need to find the rate he swims in laps per minute.
So, we have the following proportion:
number of laps number of minutes
5/12 1/4
x 1
Now, we can solve for x (the rate of laps per minute) by cross multiplying the above values. We obtain:
[tex]\frac{1}{4}\cdot x=1\cdot\frac{5}{12}[/tex]Now, we can isolate x on the left side to find its value by multiplying both sides of the above equation by 4. We obtain:
[tex]\begin{gathered} 4\cdot\frac{1}{4}\cdot x=4\cdot1\cdot\frac{5}{12} \\ \\ x=\frac{4}{12}\cdot5 \\ \\ x=\frac{1}{3}\cdot5 \\ \\ x=\frac{5}{3} \end{gathered}[/tex]Therefore, Andrew's unit rate for swimming is:
[tex]\mathbf{\frac{5}{3}}\text{\textbf{ laps per minute}}[/tex]
