Question 1151248
let east bound train (A) speed ={{{x}}} mph
west bound train(B) speed will be {{{x-14}}} mph.


{{{Distance = speed * time}}}

distance traveled by train A ={{{ 5x}}}
distance traveled by train B = {{{5*(x-14)}}}

{{{5x+5(x-14)=900}}}

{{{5x+5x-70 =900}}}

{{{10x=900+70}}}

{{{10x=970}}}

{{{x=97}}} mph => speed of east bound train

 the rate of the westbound train is: {{{x-14=97-14=highlight(83)}}} mph


check:

distance between trains after {{{5h}}}

train A: {{{d=97(mil/h)*5h=485mil}}}   

train B:{{{d=83(mil/h)*5h=415mil}}}   

distance between:{{{485+415=900}}} mil