There's basically 2 main riffs throughout the song
riff A
G----------5-----------7----------|
D----5-----------7----------------|
A--------3-----------5--5---------|
E--3-----------5------------------|
[ Tab from: https://www.guitartabs.cc/tabs/b/blues_traveler/runaround_btab_ver_2.html ]
riff B
G---------------------------------|
D---------------------------------|
A----3-3-----5H7-7-5-0------------|
E--3---- 5--5---------------------|
This is just the basics to start you in the right direction, he usually throws fills in on D