document.write( "Question 591922: how to solve this problem a speed boat travels at a rate of 20 KPH in still water. It travels 55 Km. upstream in the same time that it travels 90 KM downstream. What is the rate of the current \n" ); document.write( "
Algebra.Com's Answer #375781 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! how to solve this problem a speed boat travels at a rate of 20 KPH in still water. It travels 55 Km. upstream in the same time that it travels 90 KM downstream. What is the rate of the current \n" ); document.write( "--------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "rate = (20-c)km/h ; distance = 55 km ; time = d/r = 55/(20-c) hrs. \n" ); document.write( "---------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "rate = (20+c)km/h ; distance = 90 km ; time = 90/(20+c) hrs. \n" ); document.write( "============ \n" ); document.write( "Equation: \n" ); document.write( "time up = time down \n" ); document.write( "55/(20-c) = 90/(20+c) \n" ); document.write( "--- \n" ); document.write( "55*20 + 55c = 90*20 - 90c \n" ); document.write( "145c = 35*20 \n" ); document.write( "c = (7/29)*20 \n" ); document.write( "c = 140/29 = 4.83 km/h (rate of the current) \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |