document.write( "Question 414679: During a multi-day camping trip, Terry rowed 17 hours downstream. It took 26.5 hours rowing upstream to travel the same distance. If the speed of the current is 6.8 k/h less than his rowing speed in still water, find his rowing speed and the speed of the current. \r
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document.write( "t is time, 26.5 and 17
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document.write( "r is rate, r, r-6.8\r
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document.write( "Distance is the same, so I set the equations equal to each other? \r
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document.write( "17r = 26.5(r-6.8)\r
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document.write( "I'm not sure if this is correct, and where I go from here. \r
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document.write( "Please advise.\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #290880 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! During a multi-day camping trip, Terry rowed 17 hours downstream. It took 26.5 hours rowing upstream to travel the same distance. If the speed of the current is 6.8 k/h less than his rowing speed in still water, find his rowing speed and the speed of the current. \n" ); document.write( "---- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 17 hrs ; rate = r+(r-6.8) km/h ; distance = t*r = 17(2r-6.8) km \n" ); document.write( "---- \n" ); document.write( "Upstream DATA : \n" ); document.write( "time = 26.5 ; rate = r -(r-6.8) km/h ; distance = t*r = 26.5(6.8) km \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "distance up = distance down \n" ); document.write( "26.5*6.8 = 17(2r-6.8) \n" ); document.write( "180.2 = 34r-115.6 \n" ); document.write( "34r = 295.8 \n" ); document.write( "r = 8.7 km/h (rowing speed) \n" ); document.write( "r-6.8 = 1.9 km/h (speed of the current) \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "t is time, 26.5 and 17 \n" ); document.write( "r is rate, r, r-6.8 \n" ); document.write( "Distance is the same, so I set the equations equal to each other? \n" ); document.write( "17r = 26.5(r-6.8) \n" ); document.write( "I'm not sure if this is correct, and where I go from here \n" ); document.write( " |