Question 7153
Since the time taken to make a trip is distance / speed we can calculate
time = 270 / LeonSpeed = 330 / PatSpeed. We also know that PatSpeed = LeonSpeed + 10. Putting that into the equation, we have 
{{{270/LeonSpeed = 330/(LeonSpeed+10)}}}
We solve for LeonSpeed.
{{{270 (LeonSpeed+10) = 330 (LeonSpeed)}}}
{{{270 LeonSpeed + 2700 = 330 LeonSpeed}}}
{{{2700 = 60 LeonSpeed}}}
So, {{{LeonSpeed = 45}}} and {{{PatSpeed = 55}}}

Checking 220/45 = 330/55 = 6.