document.write( "Question 1090166: A ship traveled at an average rate of 25 miles per hour going west. It then traveled at an average rate of 19 miles per hour heading north. If the ship traveled a total of 145 miles in 7 hours, how many miles were traveled heading west? \n" ); document.write( "
Algebra.Com's Answer #704579 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A ship traveled at an average rate of 25 miles per hour going west. \n" ); document.write( " It then traveled at an average rate of 19 miles per hour heading north. \n" ); document.write( " If the ship traveled a total of 145 miles in 7 hours, how many miles were traveled heading west? \n" ); document.write( ": \n" ); document.write( "Find how long the ship traveled at each speed \n" ); document.write( "let w = time heading west at 25 mph \n" ); document.write( "the total time is 7 hrs, therefore \n" ); document.write( "(7-w) = time heading north at 19 mph \n" ); document.write( ": \n" ); document.write( "A distance equation; dist = speed * time \n" ); document.write( "25w + 19(7-w) = 145 \n" ); document.write( "25w + 133 - 19w = 145 \n" ); document.write( "25w - 19w = 145 - 133 \n" ); document.write( "6w = 12 \n" ); document.write( "w = 12/6 \n" ); document.write( "w = 2 hrs traveling west \n" ); document.write( "therefore \n" ); document.write( "2 * 25 = mile going west \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this solution, 7 - 2 = 5 hrs going north \n" ); document.write( "19 * 5 = 95mi \n" ); document.write( "25 * 2 = 50mi \n" ); document.write( "-------------- \n" ); document.write( "total dist 145 mi \n" ); document.write( " |