document.write( "Question 436902: A loaded moving truck is traveling 35 mph faster than a freight train. In the time it takes the train to travel 90 miles the truck travels 160 miles. What is the speed of the truck? \n" ); document.write( "
Algebra.Com's Answer #302248 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! Let s = the speed of the truck \n" ); document.write( "Then s - 35 = the speed of the train \n" ); document.write( "The time required for the train to travel 90 miles: \n" ); document.write( "t = 90/(s-35) \n" ); document.write( "This is the same time that the truck travels 160 miles: \n" ); document.write( "t = 160/s \n" ); document.write( "Equating the two times gives: \n" ); document.write( "90/(s-35) = 160/s \n" ); document.write( "To make the math simpler, divide both sides by 10: \n" ); document.write( "9/(s-35) = 16/s \n" ); document.write( "Cross-multiply, solve for s: \n" ); document.write( "9s = 16s - 560 -> 7s = 560 -> s = 80 \n" ); document.write( "So the speed of the truck is 80 mph (and I think the driver's going to get a speeding ticket!) \n" ); document.write( " |