document.write( "Question 1137307: Nickola swam at a rate of 2 ​km/hr and ran at a rate of 11 ​km/hr for a total distance traveled of  68.5 km. If he completed the race in 9.5 ​hours, how long did he take to complete each part of the​ race? \n" ); document.write( "
Algebra.Com's Answer #755177 by mananth(16946)\"\" \"About 
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Nickola swam at a rate of 2 ​km/hr --- let time be x hours\r
\n" ); document.write( "\n" ); document.write( "and ran at a rate of 11 ​km/hr -------- let time be y hours\r
\n" ); document.write( "\n" ); document.write( "total distance traveled of  68.5 km. Distance = speed x time\r
\n" ); document.write( "\n" ); document.write( "So 2x+11y =68.5 .........(1)\r
\n" ); document.write( "\n" ); document.write( " he completed the race in 9.5 ​hours, \r
\n" ); document.write( "\n" ); document.write( "Time swimming + time running = 9.5 hours\r
\n" ); document.write( "\n" ); document.write( "x+y=9 ................ (2)\r
\n" ); document.write( "\n" ); document.write( "time swimming x hours
\n" ); document.write( "time running y hours
\n" ); document.write( "
\n" ); document.write( " x + y = 9.5 .............1
\n" ); document.write( "2 x + 11 y = 68.5 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -11
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-11 x -11 y = -104.5
\n" ); document.write( "2 x 11 y = 68.5
\n" ); document.write( "Add the two equations
\n" ); document.write( "-9 x = -36
\n" ); document.write( "/ -9
\n" ); document.write( "x = 4
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( " x + y = 9.5
\n" ); document.write( "4 + y = 9.5
\n" ); document.write( " y = 9.5 -4
\n" ); document.write( " y = 5.5
\n" ); document.write( "
\n" ); document.write( "time swimming 4 hours
\n" ); document.write( "time running 5 1/2 hours \r
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