Answer:
Katie spent 29.2 minutes
Step-by-step explanation:
Given
Jasmine:
[tex]Distance = 5\ miles[/tex]
[tex]Rate = 8.4\ mins/mile[/tex]
Katie:
[tex]Distance = 4\ miles[/tex]
Rate = 1.1 mins/mile slower than Jasmine
Time spent by Jasmine:
[tex]Time = Distance * Rate[/tex]
[tex]Time = 5\ miles* 8.4mins/mile[/tex]
[tex]Time = 5* 8.4mins[/tex]
[tex]Time = 42\ mins[/tex]
Time spent by Katie:
[tex]Time = Distance * Rate[/tex]
We have that:
Rate = 1.1 mins/mile slower than Jasmine
So,
[tex]Rate = 8.4 - 1.1[/tex]
[tex]Rate = 7.3[/tex]
[tex]Time = 4 * 7.3[/tex]
[tex]Time = 29.2 \ mins[/tex]