document.write( "Question 878249: I don't know how to set this problem up: Two cyclists start at the same point and travel in opposite directions. One travels 3mph faster than the other. In 2 hours they are 402 miles apart. How fast is each traveling? \n" ); document.write( "
Algebra.Com's Answer #529768 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! The total distance is 402 miles. \n" ); document.write( "Let the faster cyclist be A and the slower, B. \n" ); document.write( "How many miles traveled in one hour? 201 \n" ); document.write( "A + B = 201 \n" ); document.write( "A = B + 3 \n" ); document.write( "Substitute the value of A from the second equation into the first. \n" ); document.write( "(B+3) + B = 201 \n" ); document.write( "2B + 3 = 201 \n" ); document.write( "Subtract 3 from each side \n" ); document.write( "2B = 198 \n" ); document.write( "B = 99 \n" ); document.write( "If B = 99 mph, then A = 102 mph \n" ); document.write( ". \n" ); document.write( "Obviously impossible ;-), unless they are MOTORbikes (doubtful even then!) \n" ); document.write( " |