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To: jttmab who wrote (19695)7/22/2003 3:26:31 PM
From: AK2004  Read Replies (1) | Respond to of 21614
 
it is "b)" and it has an actual real world application - cars are more efficient when traveling over small hills as opposed to flat land
anyway, you got it



To: jttmab who wrote (19695)7/22/2003 3:40:53 PM
From: AK2004  Read Replies (1) | Respond to of 21614
 
here is one more for the road :-))

you probably know of the very famous "let's make a deal" problem

you have 3 doors and behind those doors 2 tiny prizes (key chains, for example) and one really really huge prize (a billion $$$) <g>.

after you select the door without opening it you are shown a small prize behind 1 of the remaining doors. After that you are given a choice of either to switch the doors or to keep the original selection

I am sure that using very simple arithmetic you can come up with the right solution to the original question

So lets make this problem a bit tougher - can you solve the problem without using arithmetic that is no addition, no subtraction, no multiplication and no division and, of course, no such advanced concepts as fractions :-))



To: jttmab who wrote (19695)7/22/2003 4:01:31 PM
From: AK2004  Read Replies (1) | Respond to of 21614
 
re: As the bend is slight and the actual length of the surfaces would be virtually the same length, it follow that ball #2 should traverse the entire length faster than ball #1
why is the length of the surface should be the same? In fact the bend is sufficiently large to make the difference in the "length traveled" fairly considerable? <s>

re: Presumably the intention is to suggest that any difference in length has the well known property "negligible" difference in length.
could it be the right answer but wrong "why"? <s>