document.write( "Question 169022: Natasha drove from Bedington to Portsmouth at an average speed of 100 km/h. On the way back she drove at 75 km/h. Her trip took a total of 3.5 hours. What is the distance between Bedington and Portsmouth? \n" ); document.write( "
Algebra.Com's Answer #124651 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Natasha drove from Bedington to Portsmouth at an average speed of 100 km/h. On the way back she drove at 75 km/h. Her trip took a total of 3.5 hours. What is the distance between Bedington and Portsmouth? \n" ); document.write( ". \n" ); document.write( "Let x = time it took do get there \n" ); document.write( "then \n" ); document.write( "3.5 - x = time it took to return \n" ); document.write( ". \n" ); document.write( "100x = 75(3.5 - x) \n" ); document.write( "100x = 262.5 - 75x \n" ); document.write( "175x = 262.5 \n" ); document.write( "x = 1.5 hours \n" ); document.write( ". \n" ); document.write( "To find distance, we multiply the above by the 100 km/hr to get there: \n" ); document.write( "1.5 * 100 = 150 km \n" ); document.write( " \n" ); document.write( " |