Distance trvelled in one complete journey, d = 8+8 = 16 m
Dsitance travelled in 5 return journeys, D = 5*d = 5*16 = 80 m
Time taken, t = 20 seconds
Speed of the pulse :
v = D/t
= 80/20
= 4 m/s
Hence, the speed of the pulse through the string is 4 m/s.