document.write( "Question 154360: I am not sure how to set up the equation or how to solve this word problem.\r
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document.write( "Elena bicycles 5km/h faster then Carlos. In the same time it takes Carlos to bicycle 39km, Elena can bicycle 54km. How fst does each bicyclist travel? \n" );
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Algebra.Com's Answer #113664 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Elena bicycles 5km/h faster then Carlos. In the same time it takes Carlos to bicycle 39km, Elena can bicycle 54km. How fast does each bicyclist travel? \n" ); document.write( ": \n" ); document.write( "Let s = C's speed \n" ); document.write( "then \n" ); document.write( "(s+5) = E's speed \n" ); document.write( ": \n" ); document.write( "it says the times are equal: write a time equation: time = dist/speed \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "54s = 39(s+5) \n" ); document.write( ": \n" ); document.write( "54s = 39s + 195 \n" ); document.write( ": \n" ); document.write( "54s - 39s = 195 \n" ); document.write( ": \n" ); document.write( "15s = 195 \n" ); document.write( "s = \n" ); document.write( "s = 13 km/hr is C's speed \n" ); document.write( "then \n" ); document.write( "13 + 5 = 18 km/hr is E's speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions by finding the times \n" ); document.write( "54/18 = 3 hr \n" ); document.write( "39/13 = 3 hr \n" ); document.write( " |