Question

Your brother and sister took turns driving on a 570-mile trip that took 10 hours to complete. Your brother drove at a constant speed of 55 MPH and your sister drove at a constant speed of 60 MPH (distance = rate • time).
Your brother drove for hours and your sister drove for hours.

Answer 1

you can write a system of equations for this.
let's let B = # of hours driven by the brother and S = # of hours driven by the sister

if the trip is 10 hours, then B + S = 10

now, using distance = rate*time, the brother drove 55 miles per hour, for B hours ---> distance = 55B miles

same logic with the sister ---> 60S miles

the total distance is 570 miles, so 55B + 60S = 570

solve the system:

B + S = 10
55B + 60S = 570

let me know if anything was unclear, or you just want to check your work

Answer 2

Thanks that was really helpfull