document.write( "Question 115228: A boat travels 24 mi upstream in 3 hrs. then it takes 3 hrs to go downstream at 36 mi downstream, Find the speed of boat in still water and the speed of the current. (using two unknowns, write two equations and solve.)\r
\n" );
document.write( "\n" );
document.write( ">>>>>>>>>>>>>THANKS IN ADVANCE \n" );
document.write( "
Algebra.Com's Answer #83890 by stanbon(75887) ![]() You can put this solution on YOUR website! A boat travels 24 mi upstream in 3 hrs. then it takes 3 hrs to go downstream at 36 mi downstream, Find the speed of boat in still water and the speed of the current. (using two unknowns, write two equations and solve.) \n" ); document.write( "---------------- \n" ); document.write( "Let still water speed be \"b\"; Let current speed be \"c\" \n" ); document.write( "------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "Distance = 24 miles ; Time = 3 hrs ; Rate = b-c=d/t = 8 mph \n" ); document.write( "-------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "Distance = 36 miles ; Time = 3 hrs ; Rate = b+c=d/t = 12 mph \n" ); document.write( "------------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "b+c=12 \n" ); document.write( "b-c=8 \n" ); document.write( "-------- \n" ); document.write( "Add to get: \n" ); document.write( "2b = 20 \n" ); document.write( "b = 10 mph (boat speed in still water) \n" ); document.write( "---- \n" ); document.write( "Substitute to solve for \"c\": \n" ); document.write( "10+c = 12 \n" ); document.write( "c = 2 mph (current speed) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |