SOLUTION: Two dogs, each traveling 10 ft/sec, run toward each other from 500 feet apart. As they run, a flea flies from the nose of one dog to the nose of the other at 25 ft/sec. The flea fl

Question 1169385: Two dogs, each traveling 10 ft/sec, run toward each other from 500 feet apart. As they run, a flea flies from the nose of one dog to the nose of the other at 25 ft/sec. The flea flies between the dogs in this manner until it is crushed when the dogs collide. How far did the flea fly?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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The dogs will run toward each other for = = = 25 seconds. During this time, the traveling distance for a flea is its rate times 25, i.e. 25*25 = 625 ft. ANSWER.

Solved.

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It is very old and very well known entertainment Travel & Distance problem.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Two dogs, each traveling 10 ft/sec, run toward each other from 500 feet apart. As they run, a flea flies from the nose of one dog to the nose of the other at 25 ft/sec. The flea flies between the dogs in this manner until it is crushed when the dogs collide. How far did the flea fly?
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The dogs meet in 500/(10+10) = 25 seconds.
The "flea" flies for 25 seconds at 25 ft/sec = 625 feet
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Fleas cannot fly, tho, lucky for us.
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