document.write( "Question 1105157: An avalanche rescue team travels 8.55 km along a snow-covered trail. For the first section, the trail is flat. The team averages a speed of 2.7 km/h. Then, the terrain becomes mountainous and their average speed is only 1.2 km/h. The one-way trip takes the team 4.0 h. Determine the distance that the team travels on each type of terrain \n" ); document.write( "
Algebra.Com's Answer #719895 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " An avalanche rescue team travels 8.55 km along a snow-covered trail. For the first section, the trail is flat. The team averages a speed of 2.7 km/h. Then, the terrain becomes mountainous and their average speed is only 1.2 km/h. The one-way trip takes the team 4.0 h. Determine the distance that the team travels on each type of terrain \n" ); document.write( "----- \n" ); document.write( "Equations:: \n" ); document.write( "Distance Equation:: f + s = 8.55 km \n" ); document.write( "Time Equation:::::f/2.7 + s/1.2 = 4 hrs \n" ); document.write( "------------------------------ \n" ); document.write( "Modify the Time equation:: \n" ); document.write( "1.2f + 2.7s = 1.2*2.7*4 \n" ); document.write( "12f + 27s = 12*2.7*4 \n" ); document.write( "12f + 27s = 129.6 \n" ); document.write( "Modify the Distance equation:: \n" ); document.write( "12f + 12s = 12*8.55 \n" ); document.write( "Subtract and solve for \"s\": \n" ); document.write( "15s = 27 \n" ); document.write( "s = 9/5 = 1 4/5 km (mountainous leg distance) \n" ); document.write( "8.55-1.8 = 7.75 = 7 3/4 km (flat leg distance) \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |