document.write( "Question 339755: A pilot picks up mail at a remote village and returns to home base in 4 hours. If his average speed going is 150mph and the average speed returning is 100mph, how far is home base from the village? \n" ); document.write( "
Algebra.Com's Answer #243700 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A pilot picks up mail at a remote village and returns to home base in 4 hours. \n" ); document.write( " If his average speed going is 150mph and the average speed returning is 100mph, \n" ); document.write( " how far is home base from the village? \n" ); document.write( ": \n" ); document.write( "Let d = one way distance to the village \n" ); document.write( ": \n" ); document.write( "Write a time equation: time = dist/speed \n" ); document.write( ": \n" ); document.write( "Go time + return time = 4 hrs \n" ); document.write( " \n" ); document.write( "Multiply by 300 to clear the denominators, results: \n" ); document.write( "2d + 3d = 300(4) \n" ); document.write( "5d = 1200 \n" ); document.write( "d = \n" ); document.write( "d = 240 miles dist from base of village \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution by finding the times: \n" ); document.write( "240/150 = 1.6 hrs \n" ); document.write( "240/100 = 2.4 hrs \n" ); document.write( "------------------ \n" ); document.write( "total time: 4 hrs; confirms our solution \n" ); document.write( " |