document.write( "Question 807709: A boat travels 100 miles downstream in the same length of time it travels 50 miles upstream. If the boat's speed and still water at 30 mph, find the speed of the current of the river. \n" ); document.write( "
Algebra.Com's Answer #486536 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Boat speed = 30 mph \n" ); document.write( "current speed = x mph \n" ); document.write( " \n" ); document.write( "speed against current 30 - x \n" ); document.write( "speed with current 30 + x \n" ); document.write( " \n" ); document.write( "Distance against current 50 miles \n" ); document.write( "Distance with current 100 miles \n" ); document.write( " \n" ); document.write( "t=d/r time against = time with current - \n" ); document.write( "50 / ( 30 - x )= 100 / ( 30 + x ) \n" ); document.write( "50 ( 30 + x )= 100 ( 30 -x ) \n" ); document.write( "1500 + 50 x = 3000 - -100 x \n" ); document.write( "100 x 50 x 3000 + -1500 \n" ); document.write( "150 x = 1500 \n" ); document.write( "/ 150 \n" ); document.write( "x = 10 mph current speed \n" ); document.write( " \n" ); document.write( " |