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( "
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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
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\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
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