a thief snatched a gold chain and starts running. the police is informed and 3 hrs later the police starts chasing the thief with a sniffer dog. the motion of the dog is peculier. the dog touches the thief and comes backand touches the police and continues the process.when the thief is caught all of them are at the same place. if S(thief)=40km/hr, S(police)=50km/hr and S(dog)=60km/hr. what is the distance travelled by the dog towards the thief?
a.550
b.660
c.500
d.680