document.write( "Question 268946: Eruca hiked up a mountain trail at 3 km/hr and returned home at 4 km/hr. The entire trip took 5 hrs and 10 minutes. How long was the trail? \n" ); document.write( "
Algebra.Com's Answer #197047 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Eruca hiked up a mountain trail at 3 km/hr and returned home at 4 km/hr. The entire trip took 5 hrs and 10 minutes. How long was the trail? \n" ); document.write( "--- \n" ); document.write( "Up DATA: \n" ); document.write( "rate = 3 km/hr ; time = x hrs ; distance = 3x km \n" ); document.write( "--------------------- \n" ); document.write( "Down DATA: \n" ); document.write( "rate = 4 km/hr ; time = (5 1/6)-x hrs ; distance = 4[(31/6) -x] km \n" ); document.write( "=========================== \n" ); document.write( "Equation: \n" ); document.write( "distance up = distance down \n" ); document.write( "3x = 4[(31/6)-x] \n" ); document.write( "3x = (124/6) - 4x \n" ); document.write( "7x = 124/6 \n" ); document.write( "x = 124/42 \n" ); document.write( "x = 2.95.. hrs \n" ); document.write( "--- \n" ); document.write( "Distance = 3x = 8.86.. km \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |