Answer:
[tex]They\ will\ meet\ after\ 5.43\ hours\ or\ 5\ hours\ 25.8\ minutes.[/tex]
Step-by-step explanation:
[tex]Let\ they\ meet\ after\ x\ hours.[/tex]
Distance covered by Karissa:
[tex]Speed=12\ mph\\\\Time=x\ hours\\\\Distance=speed\times time\\\\Distance=12\times x\\\\Distance=12x[/tex]
Distance covered by Erin:
[tex]Speed=9\ mph\\\\Time=x\ hours\\\\Distance=speed\times time\\\\Distance=9\times x\\\\Distance=9x[/tex]
Total distance:
[tex]Total\ distance=114\ miles\\\\Total\ distance=Distance\ covered\ by\ Karissa+Distance\ covered\ by\ Erin\\\\Total\ distance=12x+9x\\\\12x+9x=114\\\\21x=114\\\\x=\frac{114}{21}\\\\x=5.43\ hours[/tex]
