document.write( "Question 482434: Jodie bikes 8 km/h faster than robert in the same time it takes robert to bike 30km, Jodie can bike 54km. How fast does each bicyclist travel? \r
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document.write( "I have done plenty of problems like this , however, now I just cant think right now. Can anyone help me? \n" );
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Algebra.Com's Answer #330279 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Jodie bikes 8 km/h faster than robert in the same time it takes robert to bike 30km, Jodie can bike 54km. \n" ); document.write( "How fast does each bicyclist travel? \n" ); document.write( ": \n" ); document.write( "Let s = R's speed \n" ); document.write( "then \n" ); document.write( "(s+8) = J's speed \n" ); document.write( ": \n" ); document.write( "Write a time equation; time = dist/speed \n" ); document.write( ": \n" ); document.write( "J's time = R's time \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "54s = 30(s+8) \n" ); document.write( "54s = 30s + 240 \n" ); document.write( "54s - 30s = 240 \n" ); document.write( "24s = 240 \n" ); document.write( "s = \n" ); document.write( "s = 10 mph is R's speed \n" ); document.write( "then \n" ); document.write( "10 + 8 = 18 mph is J's speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm our solutions by finding the time of each, they should be equal \n" ); document.write( "54/18 = 3 hrs \n" ); document.write( "30/10 = 3 hrs \n" ); document.write( " |