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mary beagn to run N at 600 ft per minute. jim regained consciousness 4 minutes later & began to run after mary at 800 ft per minute. how long did jim run to catch mary?

Zelda831

by Zelda831 at April 13, 2011

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Zelda -These word problems may seem tricky, but the key to solving them is simply writing down everything you know and then sit back and see if you "see" a solution.Here is what we know:(1) Mary is running at 600 f/m(2) She runs for 4 minutes before Jim starts to run.  (3) So, how far did Mary run before Jim started?  Well, if she runs 600 feet in one minute, then is 4 minutes she ran 600 x 4 = 2400 feet.(4) Jim can run at 800 f/m(5) If Jim runs at 800 f/m, then he is running how much faster than Mary?  Well, that would be: 800 - 600 = 200 f/m(6) So, Jim is catching up to Mary at 200 f/m.7) So, if Mary is ahead by 2400 feet (see step 3), how long will it take Jim to catch up if he is catching up at 200 f/m?8) Here is the final equation:2400 = 200t, where t is the number of minutes to catch up.I'll leave it up to you to finish up the problem.  And, I hope you learned a little bit about solving this type of problem.Good Luck

Steve204 Steve204 April 13, 2011

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Write the function s for mary s=600*t+2400 when t=0 . her position is 2400ft for jim,s=800*t when they catch up they are in the same s equate 800t=600t+2400 solving for t=12min at 12 min after jim started, they are at the same place

chitra003 chitra003 April 14, 2011

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when will that ever come in handy later on in life ;)

...sydnie... ...sydnie... April 14, 2011

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Sydnie -Math is a great subject to help you learn to think logically and solve problems.   Even if you have no plans on majoring in math, taking higher level math classes in high school will still help you in college.Studies have shown that high school students who take Algebra II or higher in high school increase there chances of graduating from college by 260% compared to high school students that stop at Algebra I.Don't be turned off ... math will really help you in succeed in life!Sydnie, if you are having trouble with math, I recommend any of the the books written by Danica McKellar.  She writes wonderful books about math that are meant to be read by student like you.  Find them at your local bookstore or library.Have a GREAT day

Steve204 Steve204 April 14, 2011

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12 mins

Talalbarazi Talalbarazi April 14, 2011

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12 minutes

Haneefah Haneefah April 15, 2011

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