document.write( "Question 105583: brooke walks 2 km/hr slower than her older sister Adrianna. If Brooke can walk 12 km in the same amount of time that Adrianne can walk 18 km, find their speeds \n" ); document.write( "
Algebra.Com's Answer #77089 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! brooke walks 2 km/hr slower than her older sister Adrianna. If Brooke can walk 12 km in the same amount of time that Adrianne can walk 18 km, find their speeds. \n" ); document.write( ": \n" ); document.write( "Let x = walking speed of B \n" ); document.write( "Then \n" ); document.write( "(x+2) = walking speed of A \n" ); document.write( ": \n" ); document.write( "Write a time equation: Time = distance/speed \n" ); document.write( "A's time = B's time \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Cross multiply: \n" ); document.write( "18x = 12(x+2) \n" ); document.write( ": \n" ); document.write( "18x = 12x + 24 \n" ); document.write( ": \n" ); document.write( "18x - 12x = 24 \n" ); document.write( ": \n" ); document.write( "6x = 24 \n" ); document.write( ": \n" ); document.write( "x = \n" ); document.write( "x = 4 km/h is B's speed \n" ); document.write( "then \n" ); document.write( "4 + 2 = 6 km/h is A's speed \n" ); document.write( ": \n" ); document.write( "Check solutions by finding if they are equal times \n" ); document.write( "18/6 = 3 hr \n" ); document.write( "12/4 = 3 hr; confirms our solutions\r \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( " |