Suzie and Scott drive together for American freight. One day Suzie averaged 54 mph and Scott average 58mph, but Scott drove for 3 more hours than Suzie. If together they drove 734 miles, then for how many hours did Scott drive?

##t_2=8h##

##v_1=54mph## ##v_2=58mph## ##Deltat=3h## ##t_2=t_1+Deltat => t_1=t2-Deltat## ##s=s_1+s_2=734m## ##t_2=?##

##s_1=v_1*t_1## ##s_2=v_2*t_2## ##s=v_1*t_1+v_2*t_2## ##s=v_1*(t_2-Deltat)+v_2*t_2## ##s=v_1*t_2-v_1*Deltat+v_2*t_2## ##s=t_2*(v_1+v_2)-v_1*Deltat## ##t_2*(v_1+v_2)=s+v_1*Deltat##

##t_2=(s+v_1*Deltat)/(v_1+v_2)##

##t_2=(734m+54mph*3h)/(54mph+58mph)=(734m+162m)/(112mph)=(896m)/(112mph)##

##t_2=8h##