Jaime is at a library that is 5 miles from her house. Her brother, Max, is at a rec center that is 4.5 miles from the house. The library and rec center both close at 6:00 p. m. Jaime and Max are beginning their training for soccer, so they decide to run home. Jaime maintains a constant rate of 8 miles per hour, while Max runs at a constant rate of 7.5 miles per hour. Which system of equations correctly represents these situations where d is the distance from home in miles and t is the length of time in hours?

{d=−8t−5d=−7.5t−4.5
{d=8t−5d=7.5t−4.5
{d=8t+5d=7.5t+4.5
{d=−8t+5d=−7.5t+4.5