document.write( "Question 1112497: The distance between two islands A and B is 36 km. The sea current flows steadily such that a boat can gain a speed of x km/h when it sails from A to B. Mr. Chan sails a boat which takes 1.5 hours to travel from A to B. and then 2 hours from B to A.Find the speed of the boat when there is no sea current. \n" ); document.write( "
Algebra.Com's Answer #727554 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The distance between two islands A and B is 36 km. \n" ); document.write( " The sea current flows steadily such that a boat can gain a speed of x km/h when it sails from A to B. \n" ); document.write( " Mr. Chan sails a boat which takes 1.5 hours to travel from A to B. \n" ); document.write( " and then 2 hours from B to A. \n" ); document.write( " Find the speed of the boat when there is no sea current. \n" ); document.write( ": \n" ); document.write( "let s = the speed of the boat with no current \n" ); document.write( "then \n" ); document.write( "(s+x) = effective speed with the current \n" ); document.write( "and \n" ); document.write( "(s-x) = effective speed against \n" ); document.write( ": \n" ); document.write( "Write a distance equation for each way. dist = time * speed \n" ); document.write( "1.5(s+x) = 36 \n" ); document.write( "2(s-x) = 36 \n" ); document.write( "simplify both equations divide the first by 1.5, divide the second by 2 \n" ); document.write( "s + x = 24 \n" ); document.write( "s - x = 18 \n" ); document.write( "---------------Addition eliminates x, find s \n" ); document.write( "2s + 0 = 42 \n" ); document.write( "s = 42/2 \n" ); document.write( "s = 21 km/hr is the speed of the boat in still water \n" ); document.write( " |