Question 462379


given data: {{{1st}}}{{{ train }}}

distance: {{{x-miles }}} miles ; time {{{t= 3 h}}} ; rate {{{r1= x/3h}}}

{{{2nd}}}{{{ train}}} :

distance: {{{(330-x) miles}}} ; time {{{t= 3 h}}} ; rate {{{r2= (330-x)/3h}}}

rate1 - rate2 

{{{r1-r2= 20}}}

{{{x/3h-(330-x)/3h = 20}}}

{{{(x/3) - (110-(x/3)) = 20}}}

{{{(2/3)x = 20 + 110}}}

{{{(2/3)x = 130}}}

{{{x = (3/2)130}}}

{{{x = 195 mil}}}...... distance traveled by 1st train

{{{speed}}} of first train is {{{v1 = 195/3 = 65 mph}}}

{{{speed}}}of second train is {{{v2 = (330-195)/3 = 45 mph}}}