document.write( "Question 189480: This is from a worksheet given by my professor, not from a textbook.\r
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document.write( "Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the same point. The slower bicyclist arrives at the end of the course a half-hour after the other bicyclist. Find the distance of the ride. Round to the nearest whole mile. \n" );
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Algebra.Com's Answer #142141 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the \n" ); document.write( " same point. The slower bicyclist arrives at the end of the course a half-hour \n" ); document.write( " after the other bicyclist. Find the distance of the ride. \n" ); document.write( " Round to the nearest whole mile. \n" ); document.write( "; \n" ); document.write( "Let d = distance of the ride: \n" ); document.write( ": \n" ); document.write( "Write a time equation; Time = \n" ); document.write( ": \n" ); document.write( "14mph biker time = 18mph biker time + one-half hr \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Multiply equation by 252; (14*18)results: \n" ); document.write( "18d = 14d + 126 \n" ); document.write( ": \n" ); document.write( "18d - 14d + 126 \n" ); document.write( ": \n" ); document.write( "4d = 126 \n" ); document.write( "d = \n" ); document.write( "d = 31.5 ~ 32 mi \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the times of each \n" ); document.write( "31.5/14 = 2.25 \n" ); document.write( "31.5/18 = 1.75 \n" ); document.write( "------------- \n" ); document.write( "dif = .5 hr \n" ); document.write( " |