Question 872783
Volume per Hour uniform rates problem.
RT=V for rate, time, volume.



__________________rate__________time__________volume
Edwards___________30____________x_____________30x
Chen______________20____________y_____________20y
Totals__________________________65____________1700


Implied variables x and y.
Two obvious equations are the time sum {{{x+y=65}}} and volume sum {{{30x+20y=1700}}}.


Volume equation simplifies to {{{3x+2y=170}}} and the time sum equation is equivalent to {{{2x+2y=130}}}, allowing for partial use of Elimination Method.
{{{1*x=40}}}, a fast answer result:  {{{highlight(x=40)}}} hours.  {{{highlight(y=25)}}} hours for Chen family.