document.write( "Question 1128848: Nickola swam at a rate of 2 km/hr and ran at a rate of 9 km/hr for a total distance traveled of 46.5 km. If he completed the race in 7.5 hours, how long did he take to complete each part of the race? \n" ); document.write( "

Algebra.Com's Answer #745360 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let t be the time (in hours) he spent running.\r\n" );
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document.write( "Then the time he swam was (7.5 - t) hours.\r\n" );
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document.write( "The total distance equation then is\r\n" );
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document.write( "    9*t+ 2*(7.5-t) = 46.5\r\n" );
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document.write( "    9t + 15 - 2t = 46.5\r\n" );
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document.write( "    7t = 46.5 - 15 = 31.5\r\n" );
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document.write( "    t =  = 4.5.\r\n" );
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document.write( "Answer.  He ran for 4.5 hours and swam for 7.5-4.5 = 3 hours.\r\n" );
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document.write( "Check.   9*4.5 + 2*3 = 46.5 kilometers.    ! Correct !\r\n" );
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