master_q 0 Posted April 26, 2003 {Official} Star Trek Trivia #45 ******************* Quark Needs YOUR help! Quark somehow has time traveled to the past on Earth and is stuck! (He is rescued two years later and goes back to the 24th Century. When he was returned he was returned the exact time of which he traveled back through time) The cost of fuel to run a locomotive is proportional to the square of the speed and $25 per hour for a speed of 25 miles per hour. Other costs amount to $100 per hour, regardless of the speed. Find the speed that minimizes the cost per mile for Quark! ******************* ??? Answering: Send myself a private message (do not answer here!) Points: 5 Master Q StarTrek_Master_Q@yahoo.com Share this post Link to post Share on other sites
master_q 0 Posted May 2, 2003 No one has even given me an answer as a guess :-( If you get it correct, then you will get 15 points! Hints: It is not as hard as it looks. Just think it out logically. Write out the important facts on a piece of paper (that’s what I do when solving a problem like this one) and then once you have it down on a piece of paper I think (and hope) that you might be able to figure it out. Let v be the required speed and let C be the total cost per mile Fuel cost per hour is kv^2 Where k is the constant term that you are going to have to figure out (it is an unknown) Good Luck! Master Q StarTrek_Master_Q@yahoo.com Share this post Link to post Share on other sites
master_q 0 Posted May 10, 2003 No one still is not going to even give this one a try? Like I said it is not as hard as it looks. Points: 15 (If you are the only one who gets it correct then I’ll give you 20 points) Master Q StarTrek_Master_Q@yahoo.com Share this post Link to post Share on other sites