document.write( "Question 1133894: A motorboat can maintain a constant speed of 13 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 45 minutes; the return trip takes 33 minutes. What is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #751153 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A motorboat can maintain a constant speed of 13 miles per hour relative to the water. \n" ); document.write( " The boat makes a trip upstream to a certain point in 45 minutes; the return trip takes 33 minutes. What is the speed of the current? \n" ); document.write( ": \n" ); document.write( "let c = the rate of the current \n" ); document.write( "then \n" ); document.write( "(13-c) = ground speed against the current \n" ); document.write( "and \n" ); document.write( "(13+c) = ground speed with \n" ); document.write( ": \n" ); document.write( "Write a distance equation; dist = speed * time \n" ); document.write( "the dist up = the dist back \n" ); document.write( " \n" ); document.write( "multiply both sides by 60 \n" ); document.write( "45(13-c) = 33(13+c) \n" ); document.write( "585 - 45c = 429 + 33c \n" ); document.write( "585 - 429 = 45c + 33c \n" ); document.write( "156 = 78c \n" ); document.write( "c = 156/78 \n" ); document.write( "c = 2 mph is the current \n" ); document.write( " |