### Home > GB8I > Chapter 7 Unit 8 > Lesson INT1: 7.1.2 > Problem7-30

7-30.

Suppose two sisters, Esther and Agnes, live $325$ miles apart. Esther has three young children who are planning to visit their Aunt Agnes for a week. Esther and Agnes agree to leave at the same time, drive toward each other, and meet somewhere along the route. Esther’s average speed is $55$ miles per hour. Agnes’ average speed is $70$ miles per hour. How long will it take for Esther and Agnes to meet? Answer in hours and minutes.

Let $t$ represent time in hours and $d$ represent distance in miles. Set up an equations using $d = rt$.

$d = 55 t$

$d = 70 t$

Where $55$ is Agnes' rate.

Where $70$ is Esther's rate.

(Agnes' Distance) + (Esther's Distance) = (total distance)