A woman and her dog are out for a morning run to the river, which is located 3.51 km away. The woman runs at 3.48 m/s in a straight line. The dog is unleashed and runs back and forth at 5.50 m/s between his owner and the river, until she reaches the river. What is the total distance run by the dog (in meters)?

Question

drwls · Answer

The woman runs for a total of
T = 3510m/(3.48 m/s) = 1009 seconds

Since the dog runs continuously, all you have to do is multiply 5.50 m/s by 1009 s for the distance the dog runs back and forth.

I get 5.55 km