document.write( "Question 524698: A car travels 147 miles in 3 hours. It was driven at 24 mph in the city and 54 mph in the country. Find the number of hours that the car was driven at each rate. \n" ); document.write( "

Algebra.Com's Answer #347873 by mananth(16949) $\"\"$ $\"About$

You can put this solution on YOUR website!
City time + country time = 3 hours\r
\n" ); document.write( "\n" ); document.write( "t=d/r\r
\n" ); document.write( "\n" ); document.write( "D(city)=x
\n" ); document.write( "speed = 24\r
\n" ); document.write( "\n" ); document.write( "D(country)=(147-x)
\n" ); document.write( "speed = 54\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2F24%29%2B%28%28147-x%29%2F54%29=3\"$ \r
\n" ); document.write( "\n" ); document.write( "LCD = 216 Multiply by LCD\r
\n" ); document.write( "\n" ); document.write( " $\"%289x%2B%284%2A147%29-4x=216%2A3\"$ \r
\n" ); document.write( "\n" ); document.write( "9x+588-4x=648
\n" ); document.write( "5x=60
\n" ); document.write( "/5
\n" ); document.write( "x=12 miles in the city
\n" ); document.write( "Balance =>147-12= 135 miles in country \n" ); document.write( "

\n" );