SOLUTION: Suppose you have two dogs and one flea. The dogs spy one another from opposite ends of an 100-ft driveway and begin to run towards each other, each at a speed of 10 ft per second.

Question 442285: Suppose you have two dogs and one flea. The dogs spy one another from opposite ends of an 100-ft driveway and begin to run towards each other, each at a speed of 10 ft per second. Starting on one dog, the flea springs back and forth from nose to nose at a speed of 20 feet per second until the dogs collide and flatten him. How far did the flea travel in all? My initial guess was 100ft but then I realized that it would not be possible because the dogs meets at the half-way point of 50ft, so the flea would have to travel once on each dog and began another flight of 5 ft before being flattened. So it would make it 45 ft. I am not sure, nor do i know how what formula to use to get the answer. Could you please help
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The dogs start 100 feet apart and approach each other at 20 mph (10 + 10).
They run for 5 seconds (100/20)
The flea moves at 20 feet/sec for 5 seconds
5*20 = 100 feet.

RELATED QUESTIONS
Two dogs, each traveling 10 ft/sec, run toward each other from 500 feet apart. As they... (answered by ikleyn,Alan3354)

Could you please help me with this problem?: Shawna liked to jog late at night. One night (answered by sudhanshu_kmr)

Suppose you have a hot dog stand, and when you charge $1 per hot dog you sell 75 hot... (answered by stanbon)

No Textbook, I cannot get this one but answered others Write an inequality to describe (answered by scott8148)

The citizens of harrington county aer wild abou their dogs. they have an existing dog... (answered by addingup)

Two hot dogs and one hamburger cost $3.39. Three hot dogs and three hamburgers cost... (answered by LilSkittleMd)

Two hot dogs and one hamburger cost $3.39. Three hot dogs and three hamburgers cost... (answered by Maths68)

i dont really understand this question, can you help me answer it: Each afternoon Maria... (answered by stanbon)

If two runners start at the same time from opposite ends of a course that is 20 miles... (answered by rfer)