document.write( "Question 1195933: You and your roommate decided to take a road trip to the beach one weekend. You drove all the
\n" ); document.write( "way to the beach at an average speed of 60 miles per hour. Your roommate drove all the way back
\n" ); document.write( "(on the same route, but with no traffic) at an average rate of 75 miles per hour. If the round trip
\n" ); document.write( "drive took a total of 9 hours, how many miles was the trip to the beach? \n" ); document.write( "

Algebra.Com's Answer #828561 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "You and your roommate decided to take a road trip to the beach one weekend.
\n" ); document.write( "You drove all the way to the beach at an average speed of 60 miles per hour.
\n" ); document.write( "Your roommate drove all the way back (on the same route, but with no traffic)
\n" ); document.write( "at an average rate of 75 miles per hour. If the round trip
\n" ); document.write( "drive took a total of 9 hours, how many miles was the trip to the beach?
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document.write( "Let d be the one way distance, in miles.\r\n" );
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document.write( "Then the trip to the beach takes    hours,\r\n" );
document.write( "while the trip back takes    hours.\r\n" );
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document.write( "The total time equation is\r\n" );
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document.write( "     +  = 9  hours.\r\n" );
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document.write( "To solve it, multiply both sides by 300.  You will get then\r\n" );
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document.write( "    5d + 4d = 9*300\r\n" );
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document.write( "      9d    = 9*300\r\n" );
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document.write( "       d    = 300 miles.\r\n" );
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document.write( "ANSWER.  The trip to the beach is 300 miles long.\r\n" );
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document.write( "CHECK.  +  = 5 + 4 = 9 hours, total travel time.     ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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