SOLUTION: Jessie and James lie on a north-south line. Jessie is 90 kilometers north of James. If they drive towards each other, they will meet in 45 minutes. However, if they drive towards n

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Question 1037139: Jessie and James lie on a north-south line. Jessie is 90 kilometers north of James. If they drive towards each other, they will meet in 45 minutes. However, if they drive towards north, they will be together in 3 hours. What is the rate at which each car is driven?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
JeSsie travels at s;]
JaMes travels at m;
Assume m%3Es.

TOWARD EACHOTHER
s%2A%283%2F4%29%2Bm%283%2F4%29=90

SAME DIRECTION 
Think about this tabulated information very carefully.  James must move faster than Jessie as assumed previously.  James therefore travels farther than does Jessie in both of them moving northward.

               speed       time      distance
JESSIE           s          3          d
JAMES            m          3         d+90


The northward information gives the two equations, system%28s%2A3=d%2Cm%2A3=d%2B90%29, and the earlier equation for TOWARD EACHOTHER makes for a system of three equations in three unknown variables. Try to work through to solve the system.