# Math Help - arithmatic problem

1. ## arithmatic problem

The distance between two places is 33/4 km.If two person starts towards opposite direction they will meet each other after 1 hr but if they go towards the same direction they require 11 hr to meet each other .Find the velocities of the two person?

2. Originally Posted by somnath6088
The distance between two places is 33/4 km.If two person starts towards opposite direction they will meet each other after 1 hr but if they go towards the same direction they require 11 hr to meet each other .Find the velocities of the two person?
Let $v_1, v_2$ denote the velocities of the 2 persons.

Then you know:

$\frac{8.25}{v_1+v_2} = 1$

$11 \cdot v_1-11 \cdot v_2=8.25~\implies~v_1=v_2+\frac34$

Sub in the term of $v_1$ into the first equation and solve for $v_2$.

I've got:

$v_1 = 4.5\ \frac{km}{h}~,~ v_2 = 3.75\ \frac{km}{h}$