Rabbit on the Run
A dog spots a rabbit which has a 150 ft. head start, and gives chase. Each jump of the rabbit covers 7 ft. and each leap of the dog covers 9 ft.
How many leaps must the dog make to catch the rabbit?
How many leaps must the dog make to catch the rabbit?
posted by Zaux at
7:29 PM
16 Comments:
if they leap at the same time(s),then the head strart will go up by 7 and down by 9,thus the rabbit will lose 2 feet with every jump(No,as in distance!)
so i'am going to say 75 leaps
75 leaps
7x75=525
9x75=675
675-525=150
75 leaps
7x75=525
9x75=675
675-525=150
75 leaps
7x75=525
9x75=675
675-525=150
yep ... I got 75 as well
LOL. They fell for that one.
... so did you, Zaux.
The rabbit might be faster than the dog.
My apologies Knightmare, you explicitly made a very important assumption. So you didn't goof after all.
Chris/Cam...you might like this(i would just like to see if this is hard/easy for you guys.
what if the rabbit leaped 84% of it's last leap i.e.1st leap was 7 ft,#2 was 84% of 1st,#3 was 84% of #2 and so on...
and the dog leap 83% of it's last leap
would the dog catch the rabbit-and if so,how many feet would the dog cover?
just thought i would throw that out there in case you were bored enough to do it
Hi Knightmare, not sure if that was a trick question. With 0.83, the dog can't even make 53 feet, yet alone more that 150 feet.
Needs 76 leaps.
The question for the catch.
At the end of 75 leaps they can be at the same distance but dog can not catch the rabbit.
... another one fell for it. The dog is lazy, he only takes one leap a day. The rabbit will have died of old age before the dog catches up.
Ah, but didn't some Greek guy prove (admittedly with a tortoise and a rabbit but I should imagine the same principles apply), that the animal that starts behind can never catch up with the one in front of it. Something to do with infinities as I remember it.
Think he called himself Zeno, but that sounds like a made up name. Probably his real name was Chris or something.
Definitely not me. I'm sure it was a chap called Karl ;)
.. or was it Zaux. According to him, neither can move ;)
Not sure if Dinesh fell for it or not. His wording is ambiguous.
Post a Comment
Links to this post:
Create a Link
<< Home