document.write( "Question 215095: It took a patrol boat 5 hours to travel 60km up a river against the current, and 3 hours for the return trip with the current. Find the speed of the boat in still water and the speed of the current.\r
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document.write( "Can you please solve this, i cant seem to figure the answer when they mention still water. please can you show me how you do it please!\r
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document.write( "please and thank you \n" );
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Algebra.Com's Answer #162540 by stanbon(75887) ![]() You can put this solution on YOUR website! It took a patrol boat 5 hours to travel 60km up a river against the current, and 3 hours for the return trip with the current. Find the speed of the boat in still water and the speed of the current. \n" ); document.write( "------------------------------------------- \n" ); document.write( "Let rate of the current be \"c\": \n" ); document.write( "Let speed of the boat be \"b\": \n" ); document.write( "--- \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 5 hrs ; distance = 60 km ; rate = d/t = 60/5 = 12 km/h \n" ); document.write( "------------------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 3 hrs ; distance = 60 km ; rate = d/t = 60/3 = 20 km/h \n" ); document.write( "-------------------------- \n" ); document.write( "Equations: \n" ); document.write( "b-c = 12 km/h \n" ); document.write( "b+c = 20 km/h \n" ); document.write( "-------------------- \n" ); document.write( "Add to get: \n" ); document.write( "2b = 32 \n" ); document.write( "b = 16 km/h (speed of the boat in still water) \n" ); document.write( "Substitute into b+c = 20 to get c = 4 km/h (speed of the current) \n" ); document.write( "=================================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================================== \n" ); document.write( " |