Answer:
Niki's time for one lap is 1 min 10 sec
Step-by-step explanation:
Let
x ----> niki's time for one lap
Remember that
[tex]1\ min=60\ sec[/tex]
so
[tex]1\ min\ 3\ sec=60\ sec+ 3\ sec=63\ sec[/tex]
we know that
Niki's time for one lap multiplied by 0.90 (percentage in decimal form) must be equal to Toya's time for one lap
so
The linear equation that represent this problem is
[tex]0.90x=63[/tex]
solve for x
[tex]x=63/0.90=70\ sec[/tex]
Convert to min
[tex]70\ sec=60\ sec+10\ sec=1\ min\ 10\ sec[/tex]
