document.write( "Question 565329: A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 15 minutes and then rows downstream, returning to his starting point in another 10 minutes. Find the rate of the current. Find the total distance traveled. \n" ); document.write( "
Algebra.Com's Answer #365753 by mananth(16946)![]() ![]() You can put this solution on YOUR website! boat rate in still water = 5mph\r \n" ); document.write( "\n" ); document.write( "upstream rate = 5-x \n" ); document.write( "downstream rate = 5+x\r \n" ); document.write( "\n" ); document.write( "time upstream = 1/4 hour \n" ); document.write( "time downstream = 1/6 hour\r \n" ); document.write( "\n" ); document.write( "Distance up and down is the same\r \n" ); document.write( "\n" ); document.write( "d=rt \n" ); document.write( "(5-x)*1/4 = (5+x)*1/6\r \n" ); document.write( "\n" ); document.write( "multiply the equation by 12 \n" ); document.write( "3(5-x)=2(5+x) \n" ); document.write( "15-3x=10+2x \n" ); document.write( "5x=5\r \n" ); document.write( "\n" ); document.write( "x=1 mph speed of current\r \n" ); document.write( "\n" ); document.write( "D= (5-1)*1/4 = 1 mile \n" ); document.write( " \n" ); document.write( " |