A prison guard and his bloodhound are chasing an escaped prisoner. The prisoner has a 10 mile head start but the guard is walking 1 mph faster than the prisoner. The bloodhound is trained to run to the prisoner, run back to the guard, and then continue running back and forth between the two. If the bloodhound runs 10 mph, how far will the bloodhound run before the guard catches up to the prisoner?

Question

anonymous · Answer

You need to first determine how long it will take the guard to catch up to the prisoner.  Then, multiply that time by the dog's speed, and you'll get a distance—the distance the dog ran over that entire time.

anonymous · Answer

1mph faster means it'll take the guard 10 hrs to cover the 10m headstart. The dog will have run 10x10=100m in thattime.

anonymous · Answer

Nice problem :)

anonymous · Answer

Thank you (: