document.write( "Question 938614: Billy took a boat to Cuba. It took him 6 hours to travel 80 km against the current and on the way back it took 2 hours. What is the average speed of the boat in still water and what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #571838 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Billy took a boat to Cuba. It took him 6 hours to travel 80 km against the current and on the way back it took 2 hours. What is the average speed of the boat in still water and what is the speed of the current? \n" ); document.write( "============= \n" ); document.write( "Against current DATA: \n" ); document.write( "time = 6 hrs ; dist = 80 km ; rate = 80/6 = 40/3 km/hr \n" ); document.write( "-------------- \n" ); document.write( "With current DATA: \n" ); document.write( "time = 2 hrs ; dist = 80 km ; rate = 80/2 = 40 km/hr \n" ); document.write( "------- \n" ); document.write( "Equations: \n" ); document.write( "Against:: b - c = 40/3 km/hr \n" ); document.write( "With::::: b + c = 40 km/hr \n" ); document.write( "------------------------ \n" ); document.write( "Add to solve for \"b\":: \n" ); document.write( "2b = 160/3 \n" ); document.write( "b = 80/3 km/hr (speed of the boat in still water) \n" ); document.write( "----- \n" ); document.write( "Subtract to solve for \"c\":: \n" ); document.write( "2c = (2/3)40 \n" ); document.write( "c = (1/3)40 \n" ); document.write( "c = 13 1/3 km/hr (speed of the current) \n" ); document.write( "----------------------- \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |