document.write( "Question 997723: If a person bikes 2.8miles in 10 minutes,how far can he bike in 1.5 hours \n" ); document.write( "
Algebra.Com's Answer #615689 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 10 miles / 60 = 1/6 hours. \n" ); document.write( "he bikes 2.8 miles in 1/6 hours. \n" ); document.write( "1.5 houors = x * 1/6 hours. \n" ); document.write( "x = 6 * 1.5 = 9. \n" ); document.write( "he travels 2.8 * 9 = 25.2 miles in 1.5 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "two ways to solve this.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have to convert hours to minutes or minutes to hours to get the correct answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i converted minutes to hours above. \n" ); document.write( "i'll convert hours to minutes down below to show you that you get the same answer if you do the conversions correctly.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.5 hours * 60 minutes per hour = 1.5 *I 60 = 90 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ratio method:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.8 / 10 = x / 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cross multiply to get 2.8 * 90 = 10 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 2.8 * 90 / 10 = 2.8 * 9 = 25.2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rate * time = distance method:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if thd person travels 2.8 miles in 10 minutes, then the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rate * 10 = 2.8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for rate to get rate = 2.8 / 10 = .28 miles per minute.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at this rate, if he travels for 90 minutes, the equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".28 * 90 = distance\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for distance to get rate = .28 * 90 = 25.2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ratio method works well when it is a direct ratio.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if it is an inverse ratio, it could get tricky.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i prefer the rate * time = distance method.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it works every time, whether or not the problem winds up being a direct ratio or an inverse ratio.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this problem involved a direct ratio, so it was relatively easy to solve using the ratio method.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "how you choose to do it is up to you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "always check your answer to the original problem to make sure you got it right.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |