document.write( "Question 1202570: The cross-country team left school and trotted to the duck pond at 3 mph. Then they ran back to the school at 7 mph. If the total trip took 10 hours, how far was it to the duck pond? \n" ); document.write( "

Algebra.Com's Answer #837491 by ikleyn(52858) $\"\"$ $\"About$

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document.write( "Write the time equation\r\n" );
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document.write( "     +  = 10 hours.\r\n" );
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document.write( "Here d is one way distance, and the terms in the left side \r\n" );
document.write( "represent time to the pond and back, respectively.\r\n" );
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document.write( "To solve equation, multiply both sides by 3*7.  You will get\r\n" );
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document.write( "    7d + 3d = 10*3*7\r\n" );
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document.write( "      10d   = 10*3*7\r\n" );
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document.write( "        d   =  3*7 = 21.\r\n" );
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document.write( "ANSWER.  The one-way distance is 21 miles.\r\n" );
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document.write( "CHECK.  Time to get pond is   = 7 hours.\r\n" );
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document.write( "        Time to return back is   = 3 hours.\r\n" );
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document.write( "        Total time is  7 + 3 = 10 hours.   ! correct !\r\n" );
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