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Posted by **Stephanie** on Wednesday, December 5, 2012 at 5:08pm.

- Math 310 Math for Teachers -
**Elena**, Wednesday, December 5, 2012 at 5:55pmv(X)=v1

v(Y) = v2

s is the distance between A and B

t is the time before the 1st meeting

v1•t=120,

v2•t=s-120,

{(s-120)+(s-90)} =v1•6,

v2•6=120+90.

=> v2=(120+90)/6=210/6=35 mph

-----

t=120/v1 (1)

2s-210=6•v1 (2)

35•t=s-120 (3)

===

Substitute (1) in (2)

35•120/v1=s-120 (4)

From(3)

s= 3•v1+105 (5)

Plug (5) in (4)

v1² - 5•v1- 35•40=0

v1= 40 mph

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