document.write( "Question 806144: a steamer, going downstream in a river, covers the distance between 2 towns in 15 hours. Coming back upstream, it covers this distance in 20 hours. The speed of the water is 3 km/hr. Find the distance between two towns. \n" ); document.write( "
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a steamer, going downstream in a river, covers the distance between 2 towns in 15 hours. Coming back upstream, it covers this distance in 20 hours. The speed of the water is 3 km/hr. Find the distance between two towns.\r
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\n" ); document.write( "\n" ); document.write( "Let the speed of the steamer be x km/h\r
\n" ); document.write( "\n" ); document.write( "speed of current = 3km/h\r
\n" ); document.write( "\n" ); document.write( "down the river speed = x+3
\n" ); document.write( "Time down stream = 15 hours
\n" ); document.write( "Distance = 15(x+3)\r
\n" ); document.write( "\n" ); document.write( "up the river speed = x-3
\n" ); document.write( "time upstream = 20 hours
\n" ); document.write( "distance = 20(x-3)\r
\n" ); document.write( "\n" ); document.write( "but distance is same both ways\r
\n" ); document.write( "\n" ); document.write( "15(x+3)=20(x-3)\r
\n" ); document.write( "\n" ); document.write( "15x+45=20x-60\r
\n" ); document.write( "\n" ); document.write( "5x=105\r
\n" ); document.write( "\n" ); document.write( "x= 21\r
\n" ); document.write( "\n" ); document.write( "speed of steamer = 21 km/h\r
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