document.write( "Question 823761: Jared rode 4 and 3 fourth miles in 1 fourth hour. What is Jared's unit rate in miles per hour? \n" ); document.write( "

Algebra.Com's Answer #495765 by math-vortex(648) $\"\"$ $\"About$

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document.write( "Hi, there--\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "Jared rode 4 and 3/4 miles in 1/4 hour. What is Jared's unit rate in miles per hour?\r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "The are a number of ways to solve this problem. Here is one:\r\n" );
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document.write( "METHOD 1: We want to know the Jared's unit rate in miles per hour. In other words, how far \r\n" );
document.write( "does he ride each hour. \r\n" );
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document.write( "We are told how far Jared walked in 1/4 hour (4 3/4 miles). There are four 1/4 hour time \r\n" );
document.write( "segments in one hour. In each of those segments, Jared rode 4 3/4 miles. So we multiply\r\n" );
document.write( "4 * (4 3/4) = 19 miles\r\n" );
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document.write( "Jared rides 19 miles in each hour, or 19 miles per hour.\r\n" );
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document.write( "You can also set this up as an equation of equivalent ratios/fractions. This method is simpler \r\n" );
document.write( "with numbers written as decimals.\r\n" );
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document.write( "4 3/4 = 4.75\r\n" );
document.write( "1/4 = .25\r\n" );
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document.write( "Let x be the distance Jared travels in one hour.\r\n" );
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document.write( "Here is the ratio for distance-to-time:\r\n" );
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document.write( "Multiply the left hand side by 4/4 to make the denominators the same\r\n" );
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document.write( "Multiply the fractions on the left hand side.\r\n" );
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document.write( "We see that x = 19. Jared rides at a rate  of 19 miles per hour.\r\n" );
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document.write( "~Mrs. Figgy\r\n" );
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