document.write( "Question 724624: A motorboat takes 3 hrs to make a trip downstream with a 6 mph current. Returning from the trip, on the same current, it took 5 hrs. How do I calculate the speed of the boat that's still in the water?\r
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Algebra.Com's Answer #443811 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A motorboat takes 3 hrs to make a trip downstream with a 6 mph current. Returning from the trip, on the same current, it took 5 hrs. How do I calculate the speed of the boat in still in water? \n" ); document.write( "---- \n" ); document.write( "Let speed in still water be \"b\": \n" ); document.write( "---- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 3 hrs ; rate = b+6 mph ; distance = r*t = 3(b+6) miles \n" ); document.write( "------ \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 5 hrs ; rate = b-6 mph ; distance = r*t = 5(b-6) miles \n" ); document.write( "------------------- \n" ); document.write( "Equation: \n" ); document.write( "distance down = distance up \n" ); document.write( "3(b+6) = 5(b-6) \n" ); document.write( "3b + 18 = 5b - 30 \n" ); document.write( "2b = 48 \n" ); document.write( "b = 24 mph (speed of the boat in still water) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============================== \n" ); document.write( " |