Cat and Dog Race
Ross and Curtis are sitting in the Puzzlarian Tavern discussing their pets. Ross says that his dog is very fast. Curtis, not to be bested, claims that his cat could outrun the dog. They decide to have a race to resolve the issue.
Race particulars:
Distance - 100 ft. to a marked point and return.
Related info:
The dog covers 3 ft with each leap, and the cat only 2 ft.
The cat makes three leaps for every two the dog makes.
Will the dog or cat win the race?
Race particulars:
Distance - 100 ft. to a marked point and return.
Related info:
The dog covers 3 ft with each leap, and the cat only 2 ft.
The cat makes three leaps for every two the dog makes.
Will the dog or cat win the race?
posted by Zaux at
11:30 AM
5 Comments:
Since only 4 of the questions to puzzle "Some real groaners" wee answered, I have posted the answers
Some real groaners
After 32 dog leaps and 48 cat leaps, the dog and cat are tied at the 96 ft mark.
2 dog leaps later, the dog has arrived at the 102 ft mark. (Assuming the dog cannot turn around in midair!) He now has to make 34 more leaps to return. His total travel is thus 68 leaps.
During that same time, the cat has taken 3 more leaps. His first 2 leaps landed him at the 100 ft mark, and his 3rd leap returned him to the 98 ft mark. He has to make 49 more leaps to return. His total travel is thus 100 leaps.
In the time the cat leaps 100 times, the dog will leap 100*2/3 = 66 2/3 times (he'll be on the downswing of his 67th leap). He will still have to make one more leap to get to the finish line.
The cat wins.
Ross ...
the cool cat definitely wins
The question is unanswerable. The cat might be very slow.
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