document.write( "Question 372132: the speed of a boat in still water is 15 mph. the boat can travel 60 miles downstream in 2/3 the time it takes to travel 60 miles upstream. what is the rate of the current? \n" ); document.write( "
Algebra.Com's Answer #265083 by Greenfinch(383)![]() ![]() You can put this solution on YOUR website! Downstream time is 60/(15 + c) Upstream time is 60/(15 - c) \n" ); document.write( "Equation is therefore 3x60/(15 + c) = 2x 60/(15 - c) \n" ); document.write( "So 180 (15 - c) = 120(15 + c) \n" ); document.write( "2700 - 180c = 1800 + 120c \n" ); document.write( "900 = 300c \n" ); document.write( "c = 3 \n" ); document.write( "Check : Downstream at 18 mph takes 10/3 hours \n" ); document.write( "Upstream at 12 mph takes 5 or 15/3 hours \n" ); document.write( "Ratio is 3:2 \n" ); document.write( " |