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.