document.write( "Question 208942: A truck is traveling 45 mlies per hour and a train traveling 60 miles per hour cover the same distance. The truck travles 2 hours longer than the train. how many hours deos each travel? \n" ); document.write( "
Algebra.Com's Answer #157983 by kthanhpn(2) ![]() You can put this solution on YOUR website! Call the time the truck needs to travel this distance t. Because the total time of the truck is 2 hours longer than the total time of the train, the time of the train can be expressed as t-2. Recall that distance can be calculated by finding the product of speed and time. Therefore, we can set up the equation: \n" ); document.write( "45(t) = 60(t-2) \n" ); document.write( "Simplify, we have: \n" ); document.write( "45t = 60t - 120 \n" ); document.write( "Subtract 60t from each sides, we have: \n" ); document.write( "-15t = -120 \n" ); document.write( "t = 8 \n" ); document.write( "Train: 8-2=6 \n" ); document.write( "The truck travels for 8 hours. \n" ); document.write( "The train travels for 6 hours.\r \n" ); document.write( "\n" ); document.write( "To check this, plug in the numbers \n" ); document.write( "45(8) = 360 \n" ); document.write( "60(6) = 360 \n" ); document.write( "And 8-6 = 2 (hours). \n" ); document.write( " |