document.write( "Question 1149025: Members of the Healthy Reading Club ran from their club house to a first rest stop at a speed of 9 km/h, and from there to the second rest stop at a speed of 5 km/h. They returned along the same course, running at 10 km/h from the second rest stop to the first, and at 6 km/h the rest of the way to the club house. If it took a total of 2.5 hours to run both ways between the club house and the first rest stop, and 3 hours to run both ways between the first and second rest stops. How far, in km, did they run altogether? \n" ); document.write( "

Algebra.Com's Answer #770361 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let x be the distance from the house to the first stop.\r\n" );
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document.write( "For this distance, you have THIS \"time\" equation\r\n" );
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document.write( "     +  = 2.5  hours.\r\n" );
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document.write( "Multiply both sides by 36  and find\r\n" );
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document.write( "    4x + 6x = 90,\r\n" );
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document.write( "    10x     = 90\r\n" );
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document.write( "      x     = 90/10 = 9 miles.\r\n" );
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document.write( "Next, let y be the distance from the first stop to the second stop.\r\n" );
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document.write( "For this distance, you have THIS \"time\" equation\r\n" );
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document.write( "     +  = 3  hours.\r\n" );
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document.write( "Multiply both sides by 10  and find\r\n" );
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document.write( "    2y +  y = 30,\r\n" );
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document.write( "    3y      = 30\r\n" );
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document.write( "     y     = 30/3 = 10 miles.\r\n" );
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document.write( "Then the total one way distance is  9 miles + 10 miles = 19 miles.\r\n" );
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document.write( "The two way distance is 2*19 = 38 miles.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Fresh formulation of traditional \"time equation\" problems.\r
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\n" ); document.write( "\n" ); document.write( "My congratulations to the person who invented/created it (!)\r
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\n" ); document.write( "\n" ); document.write( "As a bonus from me, consider the lessons on traditional \"time equation\" problems\r
\n" ); document.write( "\n" ); document.write( "    - Had a car move faster it would arrive sooner\r
\n" ); document.write( "\n" ); document.write( "    - How far do you live from school? \r
\n" ); document.write( "\n" ); document.write( "    - Earthquake waves \r
\n" ); document.write( "\n" ); document.write( "    - Time equation: HOW TO use, HOW TO write and HOW TO solve it \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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