document.write( "Question 938275: Ok so I have homework and my teacher didn't help me much to understand it. I have tried setting up ratios and all that but here is the question:
\n" ); document.write( "The Shanghai Maglev Train is one of the fastest trains in the world, traveling about 2,144 miles in 8 hours. The distance between Columbus, Ohio, and New York City is about 560 miles. How many hours would it take the train to travel between cities?\r
\n" ); document.write( "\n" ); document.write( "I am very stuck, at first I think I got it, but then I doubt myself knowing that isn't how I will solve this problem. Please help. Thanks!
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Algebra.Com's Answer #571558 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Simple uniform rates, travel problem.
\n" ); document.write( "RT=D rate time distance.\r
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\n" ); document.write( "\n" ); document.write( "\"R=%282144%2Amiles%29%2F%288%2Ahours%29\"
\n" ); document.write( "\"D=560%2Amiles\"
\n" ); document.write( "\"T=unknownHOURS\"\r
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\n" ); document.write( "\n" ); document.write( "SOLVE FOR T.\r
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\n" ); document.write( "\n" ); document.write( "You can try to use simple ratio if you want.\r
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\n" ); document.write( "\n" ); document.write( "The travel rate is the same for the entire trip.
\n" ); document.write( "That means D for distance, T for time, the ration \"D%2FT\" is a constant.\r
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\n" ); document.write( "\n" ); document.write( "\"560%2FT=2144%2F8\"
\n" ); document.write( "and if two \"fractions\" are equal then their reciprocals are also equal.
\n" ); document.write( "\"T%2F560=8%2F2144\"
\n" ); document.write( "Note that the left and right sides still must be equal.
\n" ); document.write( "You can undo the division by 560 on the left by MULTIPLYING both sides of the equation by 560:\r
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\n" ); document.write( "\n" ); document.write( "\"%28T%2F560%29%2A560=%288%2F2144%29%2A560\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28T%2A560%29%2F560=%288%2A560%29%2F2144\"\r
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\n" ); document.write( "\n" ); document.write( "\"T=%288%2A560%29%2F2144\"
\n" ); document.write( "Now just simplify the right side and compute as needed.
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