Answer:
The distance traveled by knicks when they play Miami heat is 0.5 times of distance traveled by knicks when they play Los Angeles Lakers.
Step-by-step explanation:
Teams and their courts.
New York knicks - Madison square garden
Los Angeles Lakers - Staples center
Miami heat - American Airlines arena
Distance between courts.
Madison square garden to Staples center =

Madison square garden to American Airlines arena =

When knicks play Miami heat distance traveled = Distance between Madison square garden and American Airlines arena
=

When knicks play Los Angeles Lakers distance traveled = Distance between Madison square garden and Staples center
=

Ratio of distances traveled =

So, The distance traveled by knicks when they play Miami heat is 0.5 times of distance traveled by knicks when they play Los Angeles Lakers.