document.write( "Question 1195139: Ruel can bike 5 kph faster than Greg. At noon, each boy leaves his
\n" ); document.write( "house and travels towards each other. If the distance between their
\n" ); document.write( "houses is 15 kilometers and they meet in 30 minutes, what is each
\n" ); document.write( "boy's rate? \n" ); document.write( "

Algebra.Com's Answer #827519 by ikleyn(53765) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Ruel can bike 5 kph faster than Greg. At noon, each boy leaves his
\n" ); document.write( "house and travels towards each other. If the distance between their
\n" ); document.write( "houses is 15 kilometers and they meet in 30 minutes, what is each
\n" ); document.write( "boy's rate?
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document.write( "x = Greg's biking rate, in km/h.\r\n" );
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document.write( "(x+5) = Ruel biking rate, km/h.\r\n" );
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document.write( "Write the total distance equation\r\n" );
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document.write( "    0.5x + 0.5*(x+5) = 15 kilometers.\r\n" );
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document.write( "Simply and find x\r\n" );
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document.write( "    0.5x + 0.5x + 2.5 = 15\r\n" );
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document.write( "         x            = 15 - 2.5\r\n" );
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document.write( "         x            = 12.5.\r\n" );
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document.write( "ANSWER. Greg's rate is 12.5 km/h;  Ruel's rate is 12.5 + 5 = 17.5 km/h.\r\n" );
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document.write( "CHECK.  0.5*(12.5 + 17.5) = 0.5*30 = 15 kilometers, total distance.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "For simple Travel & Distance problems, see introductory lessons \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
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\n" ); document.write( "\n" ); document.write( "They are written specially for you.\r
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\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r
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\n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r
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\n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r
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\n" ); document.write( "\n" ); document.write( "Ignore post by @josgarithmetic, since, $\"highlight%28as_usual%29\"$ , his solution is $\"highlight%28INCORRECT%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "and his answers 1 1/4 for Greg and 6 1/4 for Ruel both are $\"highlight%28WRONG%29\"$ .\r
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