document.write( "Question 1021980: The distance to Arsh’s cottage is 230km. Part of the trip is spent driving on a paved road where the limit is 80km/h. The rest of the trip is spent driving on gravel road with the limit being 50km/h. If the trip takes 4 hours, how many hours are spent on each part? \n" ); document.write( "

Algebra.Com's Answer #637669 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The distance to Arsh’s cottage is 230km. Part of the trip is spent driving on a paved road where the limit is 80km/h. The rest of the trip is spent driving on gravel road with the limit being 50km/h. If the trip takes 4 hours, how many hours are spent on each part?
\n" ); document.write( "

Let time spent on paved road, be T
\n" );
document.write( "Then time spent on gravel road = 4 – T
\n" );
document.write( "We then get the following DISTANCE equation: 80T + 50(4 – T) = 230
\n" );
document.write( "80T + 200 – 50T = 230
\n" );
document.write( "80T – 50T = 230 – 200
\n" );
document.write( "30T = 30
\n" );
document.write( "T, or time spent on paved road = , or 
\n" );
document.write( "Time spent on gravel road: 4 – 1, or  \n" );
document.write( "

\n" );