document.write( "Question 211029: 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 39 minutes; the return trip takes 29 minutes. What is the speed of the current in miles per hour? \n" ); document.write( "
Algebra.Com's Answer #159416 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 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 39 minutes; the return trip takes 29 minutes. What is the speed of the current in miles per hour? \n" ); document.write( "------------------------ \n" ); document.write( "Distance upstream = (34-c)(39/60) miles \n" ); document.write( "-------------------------- \n" ); document.write( "Distance downstream = (34+c)(29/60) miles \n" ); document.write( "----------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "distance = rate*time \n" ); document.write( "distance up = distance down \n" ); document.write( "(34-c)(39/60) = (34+c)(29/60) \n" ); document.write( "Multiply both sides by 60 to get: \n" ); document.write( "39(34-c) = 29(34+c) \n" ); document.write( "39*34 - 39c = 29*34 + 29c \n" ); document.write( "68c = 340 \n" ); document.write( "c = 5 mph (speed of the current) \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |