Question 206256

Since the southbound car is traveling at 100 km/hr, then in 2 hours it would've traveled 200 (2 * 100) km


Since the westbound car is traveling at 50 km/hr, then in 2 hours it would've traveled 100 (2 * 50) km


If a figure is drawn, it'll be seen that the scenario has formed a right triangle, with the legs being 100 km and 200 km, thus leaving the hypotenuse as the distance betwen the 2 vehicles after 2 hours.


Using the Pythagorean formula, {{{c^2 = a^2 +b^2}}}, to find this hypotenuse, we 

get:   {{{c^2 = 100^2 + 200^2}}} ------>  {{{c^2 = 10000 + 40000}}}

{{{c^2 = 50000}}} ----->  {{{c  =  sqrt(50000)}}}

c  =  223.6068


Therefore, 2 hours after starting out from the same point, the 2 cars are {{{highlight_green(223.6068)}}} km from each other.