document.write( "Question 312898: If the speed of the river is 5 mph, and a boat that can travel 25 miles upstream in the same time it would take to go 45 miles downstream. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #223830 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let speed of boat in still water be x mph \n" ); document.write( ".. \n" ); document.write( "downstrea+ the speed will be x+5 mph \n" ); document.write( "distance traveled = 45 miles. \n" ); document.write( "time taken = 45/ x+5 \n" ); document.write( ".. \n" ); document.write( "up stream the speed will be x-5 mph \n" ); document.write( "distance traveled = 25 miles \n" ); document.write( "time taken = 25/ x-5 \n" ); document.write( ".. \n" ); document.write( "both take same time \n" ); document.write( ".. \n" ); document.write( "45/x+5 = 25/x-5 \n" ); document.write( "45(x-5)=25(x+5) \n" ); document.write( "45x-225=25x+125 \n" ); document.write( "45x-25x=350 \n" ); document.write( "20x=350 \n" ); document.write( "x= 17.5 mph speed of boat in still air \n" ); document.write( " \n" ); document.write( " |