document.write( "Question 33140: a river excrusion travels x miles upstream at 3 miles per hour and back to the same place at 5 miles per hour . The round trip takes 48 minutes. State , interms of x, how long the journey takes:\r
\n" );
document.write( "\n" );
document.write( "a) on the upstream leg;
\n" );
document.write( "b) on the downstream leg;
\n" );
document.write( "c) in total
\n" );
document.write( "d) form an equation in x and solve it to find how far upstream the excruison goes. \n" );
document.write( "
Algebra.Com's Answer #20054 by kietra(57)![]() ![]() ![]() You can put this solution on YOUR website! (A) The total time the upstream journey would take is 3x. \n" ); document.write( "(B) The total time the downstream leg would take is 5x. \n" ); document.write( "(C) The total journey would take the upstream leg plus the downstream leg or 3x+5x. \n" ); document.write( "(D)3x + 5x = 48 minutes \n" ); document.write( "8x=48 \n" ); document.write( "x=6 \n" ); document.write( "So the upstream leg would take 3x = 3(6) = 18 minutes. \n" ); document.write( "The downstream leg would take 5x = 5(6) = 30 minutes. \n" ); document.write( "Now, to find the distance, use rate*time= distance. \n" ); document.write( "So, the rate of the upstream leg was 3mph and the amount of time was 18 minutes. \n" ); document.write( "3mph * 18 minutes We have to also convert units so 18 minutes and 3 miles per HOUR are in the same units. So, multiply by (1hr/60 minutes) \n" ); document.write( "(3miles/hour) * (18 min) * (1hr/60 minutes)= 54/60 miles= 9/10 miles\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |