document.write( "Question 317793: a motorboat can maintain a constant speed of 16 mile per hour relative to the water. the boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes. what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #227556 by mananth(16946)![]() ![]() You can put this solution on YOUR website! a motorboat can maintain a constant speed of 16 mile per hour relative to the water. the boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes. what is the speed of the current?\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "upstream in 20 minutes = 1/3 hours \n" ); document.write( "Down stream in 15 minutes = 1/4 hours \n" ); document.write( ".. \n" ); document.write( "let speed of current = x mph \n" ); document.write( "upstream speed will be 16-x \n" ); document.write( "down stream speed will be 16+x \n" ); document.write( ".. \n" ); document.write( "distance is same to & fro \n" ); document.write( "distance= rate * time \n" ); document.write( ".. \n" ); document.write( "1/3 * (16-x) = 1/4*(16+x) \n" ); document.write( "4*(16-x)=3*(16+x) \n" ); document.write( "64-4x=48+3x \n" ); document.write( "7x=16 \n" ); document.write( "x=2.28 mph \n" ); document.write( " |