document.write( "Question 162301: Marcie can walk 8 miles in the same time as Frank walks 6 miles. If Marcie walks 1 mile per hour faster than Frank, then how fast does each person walk? \n" ); document.write( "
Algebra.Com's Answer #119620 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Marcie can walk 8 miles in the same time as Frank walks 6 miles. If Marcie walks 1 mile per hour faster than Frank, then how fast does each person walk? \n" ); document.write( ": \n" ); document.write( "Let s = F's walking speed \n" ); document.write( "then \n" ); document.write( "(s+1) = M's walking speed \n" ); document.write( ": \n" ); document.write( "It says the times are equal; write a time equation: Time = \n" ); document.write( "M's time = F's time \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "8s = 6(s+1) \n" ); document.write( "8s = 6s + 6 \n" ); document.write( "8s - 6s = 6 \n" ); document.write( "2s = 6 \n" ); document.write( "s = \n" ); document.write( "s = 3 mph is F's speed \n" ); document.write( "and \n" ); document.write( "4 mph is M's speed \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check solutions by ensuring the times are equal: \n" ); document.write( "8/4 = 2hr \n" ); document.write( "6/3 = 2hr \n" ); document.write( " |