*81. ssm A woman and her dog are out for a morning run to the river, which is located 4.0 km away. The woman runs at 2.5 m/s in a straight line. The dog is unleashed and runs back and forth at 4.5 m/s between his owner and the river, until the woman reaches the river. What is the total distance run by the dog?

 

Ignore the fact that the dog is running back and forth.  The total distance the dog runs can be gotten from

Where for t we use the time for the woman’s run which we get from

 

 

 

Now plug this in for the time in the dog equation and we get

 

 

 

 

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This page last updated on January 11, 2020