document.write( "Question 1200510: A motorboat can maintain a constant speed of 34 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 35 minutes; the return trip takes 33 minutes. What is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #834657 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The two responses you have received until now both show a rather standard formal algebraic method for solving the problem. \n" ); document.write( "Here is an alternative method that can be useful if the given information is in this particular form. \n" ); document.write( "The distances are the same, and the ratio of the upstream and downstream times is 35:33, so the ratio of the upstream and downstream speeds is 33:35. \n" ); document.write( "If the speed of the current is c, then the upstream and downstream speeds are 34-c and 34+c, so we have the proportion \n" ); document.write( " \n" ); document.write( "That can be solved by inspection -- the speed of the current is c = 1. \n" ); document.write( "ANSWER: The speed of the current is 1 mph \n" ); document.write( " \n" ); document.write( " |