document.write( "Question 1095657: Jose can drive his car 50 mph and cover a certain distance in 20 minutes less than when he drives at 45 mph. Find that distance. \n" ); document.write( "

Algebra.Com's Answer #710163 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Literal translation of the condition to a Math equation is this:\r\n" );
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document.write( "Let D be the distance under the question. Then\r\n" );
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document.write( "     = .\r\n" );
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document.write( "Here D/45 is the time spent at the rate 45 mph;\r\n" );
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document.write( "     D/50 is the time spent at the rate 50 mph;\r\n" );
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document.write( "and  =  of an hour = 20 minutes is the time difference, given by the condition.\r\n" );
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document.write( "To solve, multiply both sides by 450 to get\r\n" );
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document.write( "10*D - 9*D = 150,\r\n" );
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document.write( "which implies  D = 150 kilometers.\r\n" );
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