document.write( "Question 1107789: Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 15 min. If the current in that part of the river is 6 km per hr, what was her boat speed in still water? \n" ); document.write( "
Algebra.Com's Answer #722820 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 15 min. If the current in that part of the river is 6 km per hr, what was her boat speed in still water?\r \n" ); document.write( "\n" ); document.write( "Let boat speed in still water be x \n" ); document.write( "current speed = 6km/h \n" ); document.write( "Let distance be y km\r \n" ); document.write( "\n" ); document.write( "upstream speed = (x-6) km/h. \n" ); document.write( "downstream speed = (x+6) km/h\r \n" ); document.write( "\n" ); document.write( "time = distance / speed \n" ); document.write( "y/(x-6) =1/2 hour \n" ); document.write( "2y= x-6.............1\r \n" ); document.write( "\n" ); document.write( "y/(x+6) = 1/4 hour \n" ); document.write( "4y = x+6...............2 \n" ); document.write( "multiply equation (1) by 2 \n" ); document.write( "we get \n" ); document.write( "4y= 2x-12...............3\r \n" ); document.write( "\n" ); document.write( "therefore equation (2) = (3) \n" ); document.write( "x+6 = 2x-12 \n" ); document.write( "2x-x = 18 \n" ); document.write( "x= 18 \n" ); document.write( " Speed of boat in still water is 18kmh\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |