document.write( "Question 223580: Please help with this problem: Norman stated across a lake 10 miles wide in is fishing boat at 12 miles per hour. After his motor went out, he had to row the rest of the way at only 3 mph. If he was rowing for half the time that the total trip took, how long did the total trip take?\r
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Algebra.Com's Answer #167132 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Norman stated across a lake 10 miles wide in is fishing boat at 12 miles per hour. After his motor went out, he had to row the rest of the way at only 3 mph. If he was rowing for half the time that the total trip took, how long did the total trip take? \n" ); document.write( ". \n" ); document.write( "Applying the distance formula of: \n" ); document.write( "d = rt \n" ); document.write( ". \n" ); document.write( "Let t = total time to get across the lake \n" ); document.write( "then \n" ); document.write( "t/2 = time he was rowing \n" ); document.write( "t/2 = time he was using the motor \n" ); document.write( ". \n" ); document.write( "12(t/2) + 3(t/2) = 10 \n" ); document.write( "Multiply both sides by 2: \n" ); document.write( "12t + 3t = 20 \n" ); document.write( "15t = 20 \n" ); document.write( "t = 20/15 \n" ); document.write( "t = 4/3 \n" ); document.write( "t = 1 and 1/3 hours (total time) \n" ); document.write( "or \n" ); document.write( "1 hour 20 minutes \n" ); document.write( " \n" ); document.write( " |