document.write( "Question 778233: Sam and Rachel leave a park at the same time and ride home. Sam rides at 15 km/h and Rachel rides at 11 km/h. Sam gets home 12 minutes before Rachel. How long did it take Sam to ride home from the park? \n" ); document.write( "

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Sam and Rachel leave a park at the same time and ride home. Sam rides at 15 km/h and Rachel rides at 11 km/h. Sam gets home 12 minutes before Rachel. How long did it take Sam to ride home from the park?\r
\n" ); document.write( "\n" ); document.write( "let Sam take t hours
\n" ); document.write( "Sam rate = 15 km/h\r
\n" ); document.write( "\n" ); document.write( "Rachel takes t+12 minutes = t+1/5 hours
\n" ); document.write( "Rachel rate = 11 km/h\r
\n" ); document.write( "\n" ); document.write( "Distance is the same \r
\n" ); document.write( "\n" ); document.write( "distance Rachel = distance Sam
\n" ); document.write( "d=rt
\n" ); document.write( "15t=11(t+(1/5))\r
\n" ); document.write( "\n" ); document.write( "15t=11((5t+1)/5)\r
\n" ); document.write( "\n" ); document.write( "multiply by 5\r
\n" ); document.write( "\n" ); document.write( "75t=11(5t+1)\r
\n" ); document.write( "\n" ); document.write( "75t=55t+11\r
\n" ); document.write( "\n" ); document.write( "20t=11
\n" ); document.write( "t=11/20 hours\r
\n" ); document.write( "\n" ); document.write( "11/20 * 60 = 33 minutes\r
\n" ); document.write( "\n" ); document.write( "Sam took 33 minutes\r
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