Question 76755
DISTANCE=RATE*TIME
360=R(X+2)
270=R*X
R=270/X NOW SUBSTITUTE (270/X) FOR R IN THE OTHER EQUATION & SOLVE FOR X  
360=(270/X)(X+2)
360=(270X+540)/X CROSS MULTIPLY
360X=270X+540
360X-270X=540
90X=540
X=540/90
X=6 HOURS IS THE TIME FOR THE SECOND DAY. 
THUS THE FIRST DAYS TIME WAS 6+2=8 HOURS.
PROOF
8R=360
R=360/8
R=45 MPH.
270=R*6
R=270/6
R=45 MPH.