We will have the following:
*We determine by replacing the values stated in the following arrangement:
![t\cdot(r_1+r_2)=170](https://img.qammunity.org/2023/formulas/mathematics/college/cb6hnp9cqr1wfjlamg701b1cay1nm1ftjd.png)
That is:
*First set:
![(2h)(35mi/h+40mi/h)=150mi](https://img.qammunity.org/2023/formulas/mathematics/college/tkxettff516koncx7prdzknekuoitu3epz.png)
So, the first set is not.
*Second set:
![(2h)(45mi/h+40mi/h)=170mi](https://img.qammunity.org/2023/formulas/mathematics/college/2ld3cnidqsswtu8gzk018oyv8yyfa5sksy.png)
So, the rates were either Nicole was moving at 45 mi/h while Kim was moving at 40 mi/h. [Third option]