document.write( "Question 811298: Medicine Hat & Cranbrook are 300 Km apart. Steve rides his Harley 20 Km per hr faster than Bob rides his Yamaha. Find Steve's average rate if he travels from Cranbrook to Medicine Hat in 1.25 hr less time than Bob? \n" ); document.write( "
Algebra.Com's Answer #488690 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! Person____________speed_____________time______________distance \n" ); document.write( "Steve_____________r+20______________x-1.25____________300 \n" ); document.write( "Bob_______________r_________________x_________________300\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We do not know Bob's speed, r and we do not know Bob's time, x. We only know their distance to travel. Use uniform rate R*T=D, and D is the same for both Steve and Bob.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Seeing the equality of rx and 300, we can subtract either from both sides to simplify this equation to \n" ); document.write( "' \n" ); document.write( "We now have the simpler system, \n" ); document.write( "' \n" ); document.write( "Solve the rx equation for x and substitute: \n" ); document.write( "x=300/r \n" ); document.write( "giving one equation in only r: |