document.write( "Question 313348: a man swimming in a river finds that it takes him thrice the time to swim 2km upstream as it takes him to swim back.if the river flows at the rate of 1.5 km/hr find the swimming speed of the man in still water \n" ); document.write( "
Algebra.Com's Answer #224059 by mananth(16946)![]() ![]() You can put this solution on YOUR website! a man swimming in a river finds that it takes him thrice the time to swim 2km upstream as it takes him to swim back.if the river flows at the rate of 1.5 km/hr find the swimming speed of the man in still water \n" ); document.write( ".. \n" ); document.write( "let the speed in still water be x km/hr. \n" ); document.write( "upstream the speed will be x-1.5 \n" ); document.write( "distance = 2km \n" ); document.write( "time taken upstream = 2/(x-1.5) \n" ); document.write( ".. \n" ); document.write( "downstream speed = x+1.5 \n" ); document.write( "distance = 2km \n" ); document.write( "time taken = 2/(x+1.5) \n" ); document.write( ".. \n" ); document.write( "he takes thrice the time upstream.\r \n" ); document.write( "\n" ); document.write( "2/(x-1.5) = 3*(2/x+1.5) \n" ); document.write( "(x+1.5)(x-1.5)=3 \n" ); document.write( "x^2-2.25=3 \n" ); document.write( "x^2= 0.75 \n" ); document.write( "=0.87 km/hr \n" ); document.write( " |