document.write( "Question 347413: Two cyclists, 108 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist? \n" ); document.write( "
Algebra.Com's Answer #248395 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the speed of 1 be x mph \n" ); document.write( "the other willl be 3x \n" ); document.write( ".... \n" ); document.write( "Time = distance / speed \n" ); document.write( "cyclist 1 time = 108/x \n" ); document.write( "cyclist 2 time =108/3x \n" ); document.write( "..... \n" ); document.write( "108/x + 108/3x = 3 \n" ); document.write( "324+108 / 3x= 3 \n" ); document.write( "432/3x=3 \n" ); document.write( "432=9x \n" ); document.write( "x= 432/9 \n" ); document.write( "x=48 mph \n" ); document.write( "faster cyclist = 3*48 = 144 mph \n" ); document.write( " |